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Finding the Fourth Proportional to 10,562.15, 14,560.25 and 8,039.87

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Solution

The fourth proportional to 10,562.15, 14,560.25 and 8,039.87 is: 11,083.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.15 : 14,560.25 = 8,039.87 : x
  2. Step 2: Convert to fraction form
    10,562.15/14,560.25 = 8,039.87/x
  3. Step 3: Cross multiply
    10,562.15x = 14,560.25 × 8,039.87
  4. Step 4: Simplify right side
    10,562.15x = 117,062,458.77
  5. Step 5: Solve for x
    x = 117,062,458.77/10,562.15
  6. Step 6: Final answer
    x = 11,083.20

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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.