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Finding the Fourth Proportional to 10,387.12, 15,580.16 and 3,812.79

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Solution

The fourth proportional to 10,387.12, 15,580.16 and 3,812.79 is: 5,718.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.12 : 15,580.16 = 3,812.79 : x
  2. Step 2: Convert to fraction form
    10,387.12/15,580.16 = 3,812.79/x
  3. Step 3: Cross multiply
    10,387.12x = 15,580.16 × 3,812.79
  4. Step 4: Simplify right side
    10,387.12x = 59,403,878.25
  5. Step 5: Solve for x
    x = 59,403,878.25/10,387.12
  6. Step 6: Final answer
    x = 5,718.99

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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.