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Finding the Fourth Proportional to 11,124.68, 15,325.68 and 7,761.38

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Solution

The fourth proportional to 11,124.68, 15,325.68 and 7,761.38 is: 10,692.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,124.68 : 15,325.68 = 7,761.38 : x
  2. Step 2: Convert to fraction form
    11,124.68/15,325.68 = 7,761.38/x
  3. Step 3: Cross multiply
    11,124.68x = 15,325.68 × 7,761.38
  4. Step 4: Simplify right side
    11,124.68x = 118,948,426.24
  5. Step 5: Solve for x
    x = 118,948,426.24/11,124.68
  6. Step 6: Final answer
    x = 10,692.30

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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.