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Finding the Fourth Proportional to 8,414.81, 12,608.26 and 5,117.93

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Solution

The fourth proportional to 8,414.81, 12,608.26 and 5,117.93 is: 7,668.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.81 : 12,608.26 = 5,117.93 : x
  2. Step 2: Convert to fraction form
    8,414.81/12,608.26 = 5,117.93/x
  3. Step 3: Cross multiply
    8,414.81x = 12,608.26 × 5,117.93
  4. Step 4: Simplify right side
    8,414.81x = 64,528,192.10
  5. Step 5: Solve for x
    x = 64,528,192.10/8,414.81
  6. Step 6: Final answer
    x = 7,668.41

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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.