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Finding the Fourth Proportional to 10,281.01, 14,187.82 and 5,565.30

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Solution

The fourth proportional to 10,281.01, 14,187.82 and 5,565.30 is: 7,680.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.01 : 14,187.82 = 5,565.30 : x
  2. Step 2: Convert to fraction form
    10,281.01/14,187.82 = 5,565.30/x
  3. Step 3: Cross multiply
    10,281.01x = 14,187.82 × 5,565.30
  4. Step 4: Simplify right side
    10,281.01x = 78,959,474.65
  5. Step 5: Solve for x
    x = 78,959,474.65/10,281.01
  6. Step 6: Final answer
    x = 7,680.13

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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.