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Finding the Fourth Proportional to 10,039.20, 13,854 and 5,562.96

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Solution

The fourth proportional to 10,039.20, 13,854 and 5,562.96 is: 7,676.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,039.20 : 13,854 = 5,562.96 : x
  2. Step 2: Convert to fraction form
    10,039.20/13,854 = 5,562.96/x
  3. Step 3: Cross multiply
    10,039.20x = 13,854 × 5,562.96
  4. Step 4: Simplify right side
    10,039.20x = 77,069,247.84
  5. Step 5: Solve for x
    x = 77,069,247.84/10,039.20
  6. Step 6: Final answer
    x = 7,676.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.