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Finding the Fourth Proportional to 8,535.48, 12,802.59 and 3,793.14

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Solution

The fourth proportional to 8,535.48, 12,802.59 and 3,793.14 is: 5,689.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.48 : 12,802.59 = 3,793.14 : x
  2. Step 2: Convert to fraction form
    8,535.48/12,802.59 = 3,793.14/x
  3. Step 3: Cross multiply
    8,535.48x = 12,802.59 × 3,793.14
  4. Step 4: Simplify right side
    8,535.48x = 48,562,016.23
  5. Step 5: Solve for x
    x = 48,562,016.23/8,535.48
  6. Step 6: Final answer
    x = 5,689.43

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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.