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Finding the Fourth Proportional to 11,565.60, 17,350.80 and 5,715.36

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Solution

The fourth proportional to 11,565.60, 17,350.80 and 5,715.36 is: 8,574.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.60 : 17,350.80 = 5,715.36 : x
  2. Step 2: Convert to fraction form
    11,565.60/17,350.80 = 5,715.36/x
  3. Step 3: Cross multiply
    11,565.60x = 17,350.80 × 5,715.36
  4. Step 4: Simplify right side
    11,565.60x = 99,166,068.29
  5. Step 5: Solve for x
    x = 99,166,068.29/11,565.60
  6. Step 6: Final answer
    x = 8,574.23

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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.