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Finding the Fourth Proportional to 8,291.63, 11,452.17 and 5,492.27

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Solution

The fourth proportional to 8,291.63, 11,452.17 and 5,492.27 is: 7,585.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.63 : 11,452.17 = 5,492.27 : x
  2. Step 2: Convert to fraction form
    8,291.63/11,452.17 = 5,492.27/x
  3. Step 3: Cross multiply
    8,291.63x = 11,452.17 × 5,492.27
  4. Step 4: Simplify right side
    8,291.63x = 62,898,352.47
  5. Step 5: Solve for x
    x = 62,898,352.47/8,291.63
  6. Step 6: Final answer
    x = 7,585.77

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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.