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Finding the Fourth Proportional to 8,097.52, 12,146.46 and 3,712

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Solution

The fourth proportional to 8,097.52, 12,146.46 and 3,712 is: 5,568.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.52 : 12,146.46 = 3,712 : x
  2. Step 2: Convert to fraction form
    8,097.52/12,146.46 = 3,712/x
  3. Step 3: Cross multiply
    8,097.52x = 12,146.46 × 3,712
  4. Step 4: Simplify right side
    8,097.52x = 45,087,659.52
  5. Step 5: Solve for x
    x = 45,087,659.52/8,097.52
  6. Step 6: Final answer
    x = 5,568.08

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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.