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Finding the Fourth Proportional to 10,472.42, 15,695.04 and 4,847.96

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Solution

The fourth proportional to 10,472.42, 15,695.04 and 4,847.96 is: 7,265.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.42 : 15,695.04 = 4,847.96 : x
  2. Step 2: Convert to fraction form
    10,472.42/15,695.04 = 4,847.96/x
  3. Step 3: Cross multiply
    10,472.42x = 15,695.04 × 4,847.96
  4. Step 4: Simplify right side
    10,472.42x = 76,088,926.12
  5. Step 5: Solve for x
    x = 76,088,926.12/10,472.42
  6. Step 6: Final answer
    x = 7,265.65

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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.