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Finding the Fourth Proportional to 8,414.48, 11,599.80 and 5,888.72

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Solution

The fourth proportional to 8,414.48, 11,599.80 and 5,888.72 is: 8,117.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.48 : 11,599.80 = 5,888.72 : x
  2. Step 2: Convert to fraction form
    8,414.48/11,599.80 = 5,888.72/x
  3. Step 3: Cross multiply
    8,414.48x = 11,599.80 × 5,888.72
  4. Step 4: Simplify right side
    8,414.48x = 68,307,974.26
  5. Step 5: Solve for x
    x = 68,307,974.26/8,414.48
  6. Step 6: Final answer
    x = 8,117.91

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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.