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Finding the Fourth Proportional to 11,259.20, 15,542.08 and 10,078.22

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Solution

The fourth proportional to 11,259.20, 15,542.08 and 10,078.22 is: 13,911.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,259.20 : 15,542.08 = 10,078.22 : x
  2. Step 2: Convert to fraction form
    11,259.20/15,542.08 = 10,078.22/x
  3. Step 3: Cross multiply
    11,259.20x = 15,542.08 × 10,078.22
  4. Step 4: Simplify right side
    11,259.20x = 156,636,501.50
  5. Step 5: Solve for x
    x = 156,636,501.50/11,259.20
  6. Step 6: Final answer
    x = 13,911.87

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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.