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Finding the Fourth Proportional to 10,494.72, 15,748.56 and 6,120.72

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Solution

The fourth proportional to 10,494.72, 15,748.56 and 6,120.72 is: 9,184.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.72 : 15,748.56 = 6,120.72 : x
  2. Step 2: Convert to fraction form
    10,494.72/15,748.56 = 6,120.72/x
  3. Step 3: Cross multiply
    10,494.72x = 15,748.56 × 6,120.72
  4. Step 4: Simplify right side
    10,494.72x = 96,392,526.16
  5. Step 5: Solve for x
    x = 96,392,526.16/10,494.72
  6. Step 6: Final answer
    x = 9,184.86

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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.