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Finding the Fourth Proportional to 8,693.12, 13,032.66 and 3,494

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Solution

The fourth proportional to 8,693.12, 13,032.66 and 3,494 is: 5,238.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,693.12 : 13,032.66 = 3,494 : x
  2. Step 2: Convert to fraction form
    8,693.12/13,032.66 = 3,494/x
  3. Step 3: Cross multiply
    8,693.12x = 13,032.66 × 3,494
  4. Step 4: Simplify right side
    8,693.12x = 45,536,114.04
  5. Step 5: Solve for x
    x = 45,536,114.04/8,693.12
  6. Step 6: Final answer
    x = 5,238.18

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Why These Related Problems?

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