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Finding the Fourth Proportional to 10,909.82, 15,061.30 and 7,343.53

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Solution

The fourth proportional to 10,909.82, 15,061.30 and 7,343.53 is: 10,137.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909.82 : 15,061.30 = 7,343.53 : x
  2. Step 2: Convert to fraction form
    10,909.82/15,061.30 = 7,343.53/x
  3. Step 3: Cross multiply
    10,909.82x = 15,061.30 × 7,343.53
  4. Step 4: Simplify right side
    10,909.82x = 110,603,052.38
  5. Step 5: Solve for x
    x = 110,603,052.38/10,909.82
  6. Step 6: Final answer
    x = 10,137.93

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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.