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Finding the Fourth Proportional to 10,642.62, 15,965.55 and 3,715.50

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Solution

The fourth proportional to 10,642.62, 15,965.55 and 3,715.50 is: 5,573.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.62 : 15,965.55 = 3,715.50 : x
  2. Step 2: Convert to fraction form
    10,642.62/15,965.55 = 3,715.50/x
  3. Step 3: Cross multiply
    10,642.62x = 15,965.55 × 3,715.50
  4. Step 4: Simplify right side
    10,642.62x = 59,320,001.03
  5. Step 5: Solve for x
    x = 59,320,001.03/10,642.62
  6. Step 6: Final answer
    x = 5,573.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.