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Finding the Fourth Proportional to 7,166,234.88, 9,890,691.84 and 4,111,459.20

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Solution

The fourth proportional to 7,166,234.88, 9,890,691.84 and 4,111,459.20 is: 5,674,552.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166,234.88 : 9,890,691.84 = 4,111,459.20 : x
  2. Step 2: Convert to fraction form
    7,166,234.88/9,890,691.84 = 4,111,459.20/x
  3. Step 3: Cross multiply
    7,166,234.88x = 9,890,691.84 × 4,111,459.20
  4. Step 4: Simplify right side
    7,166,234.88x = 40,665,175,959,932.93
  5. Step 5: Solve for x
    x = 40,665,175,959,932.93/7,166,234.88
  6. Step 6: Final answer
    x = 5,674,552.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.