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Finding the Fourth Proportional to 10,555.18, 14,565.69 and 5,839.15

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Solution

The fourth proportional to 10,555.18, 14,565.69 and 5,839.15 is: 8,057.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,555.18 : 14,565.69 = 5,839.15 : x
  2. Step 2: Convert to fraction form
    10,555.18/14,565.69 = 5,839.15/x
  3. Step 3: Cross multiply
    10,555.18x = 14,565.69 × 5,839.15
  4. Step 4: Simplify right side
    10,555.18x = 85,051,175.94
  5. Step 5: Solve for x
    x = 85,051,175.94/10,555.18
  6. Step 6: Final answer
    x = 8,057.77

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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.