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Finding the Fourth Proportional to 11,124.32, 15,350.05 and 6,647.13

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Solution

The fourth proportional to 11,124.32, 15,350.05 and 6,647.13 is: 9,172.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,124.32 : 15,350.05 = 6,647.13 : x
  2. Step 2: Convert to fraction form
    11,124.32/15,350.05 = 6,647.13/x
  3. Step 3: Cross multiply
    11,124.32x = 15,350.05 × 6,647.13
  4. Step 4: Simplify right side
    11,124.32x = 102,033,777.86
  5. Step 5: Solve for x
    x = 102,033,777.86/11,124.32
  6. Step 6: Final answer
    x = 9,172.14

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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.