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Finding the Fourth Proportional to 10,471.16, 15,693.96 and 4,917.09

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Solution

The fourth proportional to 10,471.16, 15,693.96 and 4,917.09 is: 7,369.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.16 : 15,693.96 = 4,917.09 : x
  2. Step 2: Convert to fraction form
    10,471.16/15,693.96 = 4,917.09/x
  3. Step 3: Cross multiply
    10,471.16x = 15,693.96 × 4,917.09
  4. Step 4: Simplify right side
    10,471.16x = 77,168,613.78
  5. Step 5: Solve for x
    x = 77,168,613.78/10,471.16
  6. Step 6: Final answer
    x = 7,369.63

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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.