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Finding the Fourth Proportional to 11,269.80, 15,565.08 and 7,678.53

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Solution

The fourth proportional to 11,269.80, 15,565.08 and 7,678.53 is: 10,605.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,269.80 : 15,565.08 = 7,678.53 : x
  2. Step 2: Convert to fraction form
    11,269.80/15,565.08 = 7,678.53/x
  3. Step 3: Cross multiply
    11,269.80x = 15,565.08 × 7,678.53
  4. Step 4: Simplify right side
    11,269.80x = 119,516,855.91
  5. Step 5: Solve for x
    x = 119,516,855.91/11,269.80
  6. Step 6: Final answer
    x = 10,605.06

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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.