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Finding the Fourth Proportional to 7,102.50, 9,801.68 and 3,915.93

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Solution

The fourth proportional to 7,102.50, 9,801.68 and 3,915.93 is: 5,404.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.50 : 9,801.68 = 3,915.93 : x
  2. Step 2: Convert to fraction form
    7,102.50/9,801.68 = 3,915.93/x
  3. Step 3: Cross multiply
    7,102.50x = 9,801.68 × 3,915.93
  4. Step 4: Simplify right side
    7,102.50x = 38,382,624.17
  5. Step 5: Solve for x
    x = 38,382,624.17/7,102.50
  6. Step 6: Final answer
    x = 5,404.10

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