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Finding the Fourth Proportional to 8,534.19, 11,774.66 and 8,252.31

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Solution

The fourth proportional to 8,534.19, 11,774.66 and 8,252.31 is: 11,385.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.19 : 11,774.66 = 8,252.31 : x
  2. Step 2: Convert to fraction form
    8,534.19/11,774.66 = 8,252.31/x
  3. Step 3: Cross multiply
    8,534.19x = 11,774.66 × 8,252.31
  4. Step 4: Simplify right side
    8,534.19x = 97,168,103.20
  5. Step 5: Solve for x
    x = 97,168,103.20/8,534.19
  6. Step 6: Final answer
    x = 11,385.74

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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.