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Finding the Fourth Proportional to 8,414.55, 11,608.50 and 4,876.47

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Solution

The fourth proportional to 8,414.55, 11,608.50 and 4,876.47 is: 6,727.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.55 : 11,608.50 = 4,876.47 : x
  2. Step 2: Convert to fraction form
    8,414.55/11,608.50 = 4,876.47/x
  3. Step 3: Cross multiply
    8,414.55x = 11,608.50 × 4,876.47
  4. Step 4: Simplify right side
    8,414.55x = 56,608,502.00
  5. Step 5: Solve for x
    x = 56,608,502.00/8,414.55
  6. Step 6: Final answer
    x = 6,727.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.