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Finding the Fourth Proportional to 10,259.81, 15,387.80 and 6,388.13

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Solution

The fourth proportional to 10,259.81, 15,387.80 and 6,388.13 is: 9,581.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,259.81 : 15,387.80 = 6,388.13 : x
  2. Step 2: Convert to fraction form
    10,259.81/15,387.80 = 6,388.13/x
  3. Step 3: Cross multiply
    10,259.81x = 15,387.80 × 6,388.13
  4. Step 4: Simplify right side
    10,259.81x = 98,299,234.87
  5. Step 5: Solve for x
    x = 98,299,234.87/10,259.81
  6. Step 6: Final answer
    x = 9,581.00

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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.