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Finding the Fourth Proportional to 10,039.53, 13,854.17 and 5,790.77

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Solution

The fourth proportional to 10,039.53, 13,854.17 and 5,790.77 is: 7,991.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,039.53 : 13,854.17 = 5,790.77 : x
  2. Step 2: Convert to fraction form
    10,039.53/13,854.17 = 5,790.77/x
  3. Step 3: Cross multiply
    10,039.53x = 13,854.17 × 5,790.77
  4. Step 4: Simplify right side
    10,039.53x = 80,226,312.01
  5. Step 5: Solve for x
    x = 80,226,312.01/10,039.53
  6. Step 6: Final answer
    x = 7,991.04

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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.