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Finding the Fourth Proportional to 7,432.60, 11,127 and 5,493.46

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Solution

The fourth proportional to 7,432.60, 11,127 and 5,493.46 is: 8,224.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,432.60 : 11,127 = 5,493.46 : x
  2. Step 2: Convert to fraction form
    7,432.60/11,127 = 5,493.46/x
  3. Step 3: Cross multiply
    7,432.60x = 11,127 × 5,493.46
  4. Step 4: Simplify right side
    7,432.60x = 61,125,729.42
  5. Step 5: Solve for x
    x = 61,125,729.42/7,432.60
  6. Step 6: Final answer
    x = 8,224.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.