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Finding the Fourth Proportional to 10,415.97, 15,617.69 and 4,001.68

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Solution

The fourth proportional to 10,415.97, 15,617.69 and 4,001.68 is: 6,000.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.97 : 15,617.69 = 4,001.68 : x
  2. Step 2: Convert to fraction form
    10,415.97/15,617.69 = 4,001.68/x
  3. Step 3: Cross multiply
    10,415.97x = 15,617.69 × 4,001.68
  4. Step 4: Simplify right side
    10,415.97x = 62,496,957.06
  5. Step 5: Solve for x
    x = 62,496,957.06/10,415.97
  6. Step 6: Final answer
    x = 6,000.11

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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.