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Finding the Fourth Proportional to 7,245.88, 9,999.71 and 4,102

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Solution

The fourth proportional to 7,245.88, 9,999.71 and 4,102 is: 5,660.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,245.88 : 9,999.71 = 4,102 : x
  2. Step 2: Convert to fraction form
    7,245.88/9,999.71 = 4,102/x
  3. Step 3: Cross multiply
    7,245.88x = 9,999.71 × 4,102
  4. Step 4: Simplify right side
    7,245.88x = 41,018,810.42
  5. Step 5: Solve for x
    x = 41,018,810.42/7,245.88
  6. Step 6: Final answer
    x = 5,660.98

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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.