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Finding the Fourth Proportional to 8,535.30, 12,802.23 and 2,691.06

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Solution

The fourth proportional to 8,535.30, 12,802.23 and 2,691.06 is: 4,036.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.30 : 12,802.23 = 2,691.06 : x
  2. Step 2: Convert to fraction form
    8,535.30/12,802.23 = 2,691.06/x
  3. Step 3: Cross multiply
    8,535.30x = 12,802.23 × 2,691.06
  4. Step 4: Simplify right side
    8,535.30x = 34,451,569.06
  5. Step 5: Solve for x
    x = 34,451,569.06/8,535.30
  6. Step 6: Final answer
    x = 4,036.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.