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Finding the Fourth Proportional to 7,604.88, 10,497.24 and 4,461

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Solution

The fourth proportional to 7,604.88, 10,497.24 and 4,461 is: 6,157.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,604.88 : 10,497.24 = 4,461 : x
  2. Step 2: Convert to fraction form
    7,604.88/10,497.24 = 4,461/x
  3. Step 3: Cross multiply
    7,604.88x = 10,497.24 × 4,461
  4. Step 4: Simplify right side
    7,604.88x = 46,828,187.64
  5. Step 5: Solve for x
    x = 46,828,187.64/7,604.88
  6. Step 6: Final answer
    x = 6,157.65

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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.