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Finding the Fourth Proportional to 10,102.52, 15,146.80 and 5,168.81

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Solution

The fourth proportional to 10,102.52, 15,146.80 and 5,168.81 is: 7,749.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.52 : 15,146.80 = 5,168.81 : x
  2. Step 2: Convert to fraction form
    10,102.52/15,146.80 = 5,168.81/x
  3. Step 3: Cross multiply
    10,102.52x = 15,146.80 × 5,168.81
  4. Step 4: Simplify right side
    10,102.52x = 78,290,956.25
  5. Step 5: Solve for x
    x = 78,290,956.25/10,102.52
  6. Step 6: Final answer
    x = 7,749.64

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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.