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Finding the Fourth Proportional to 8,402.88, 11,596.17 and 5,045.83

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Solution

The fourth proportional to 8,402.88, 11,596.17 and 5,045.83 is: 6,963.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.88 : 11,596.17 = 5,045.83 : x
  2. Step 2: Convert to fraction form
    8,402.88/11,596.17 = 5,045.83/x
  3. Step 3: Cross multiply
    8,402.88x = 11,596.17 × 5,045.83
  4. Step 4: Simplify right side
    8,402.88x = 58,512,302.47
  5. Step 5: Solve for x
    x = 58,512,302.47/8,402.88
  6. Step 6: Final answer
    x = 6,963.36

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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.