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Finding the Fourth Proportional to 10,387.32, 15,581 and 4,544.38

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Solution

The fourth proportional to 10,387.32, 15,581 and 4,544.38 is: 6,816.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.32 : 15,581 = 4,544.38 : x
  2. Step 2: Convert to fraction form
    10,387.32/15,581 = 4,544.38/x
  3. Step 3: Cross multiply
    10,387.32x = 15,581 × 4,544.38
  4. Step 4: Simplify right side
    10,387.32x = 70,805,984.78
  5. Step 5: Solve for x
    x = 70,805,984.78/10,387.32
  6. Step 6: Final answer
    x = 6,816.58

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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.