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Finding the Fourth Proportional to 8,196.47, 12,293.48 and 3,001.13

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Solution

The fourth proportional to 8,196.47, 12,293.48 and 3,001.13 is: 4,501.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.47 : 12,293.48 = 3,001.13 : x
  2. Step 2: Convert to fraction form
    8,196.47/12,293.48 = 3,001.13/x
  3. Step 3: Cross multiply
    8,196.47x = 12,293.48 × 3,001.13
  4. Step 4: Simplify right side
    8,196.47x = 36,894,255.16
  5. Step 5: Solve for x
    x = 36,894,255.16/8,196.47
  6. Step 6: Final answer
    x = 4,501.24

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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.