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Finding the Fourth Proportional to 11,423.56, 15,762.84 and 6,387.16

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Solution

The fourth proportional to 11,423.56, 15,762.84 and 6,387.16 is: 8,813.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423.56 : 15,762.84 = 6,387.16 : x
  2. Step 2: Convert to fraction form
    11,423.56/15,762.84 = 6,387.16/x
  3. Step 3: Cross multiply
    11,423.56x = 15,762.84 × 6,387.16
  4. Step 4: Simplify right side
    11,423.56x = 100,679,781.13
  5. Step 5: Solve for x
    x = 100,679,781.13/11,423.56
  6. Step 6: Final answer
    x = 8,813.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.