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Finding the Fourth Proportional to 10,132, 15,192.72 and 4,580.56

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Solution

The fourth proportional to 10,132, 15,192.72 and 4,580.56 is: 6,868.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,132 : 15,192.72 = 4,580.56 : x
  2. Step 2: Convert to fraction form
    10,132/15,192.72 = 4,580.56/x
  3. Step 3: Cross multiply
    10,132x = 15,192.72 × 4,580.56
  4. Step 4: Simplify right side
    10,132x = 69,591,165.52
  5. Step 5: Solve for x
    x = 69,591,165.52/10,132
  6. Step 6: Final answer
    x = 6,868.45

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