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Finding the Fourth Proportional to 8,497.96, 12,747.06 and 2,258.08

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Solution

The fourth proportional to 8,497.96, 12,747.06 and 2,258.08 is: 3,387.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.96 : 12,747.06 = 2,258.08 : x
  2. Step 2: Convert to fraction form
    8,497.96/12,747.06 = 2,258.08/x
  3. Step 3: Cross multiply
    8,497.96x = 12,747.06 × 2,258.08
  4. Step 4: Simplify right side
    8,497.96x = 28,783,881.24
  5. Step 5: Solve for x
    x = 28,783,881.24/8,497.96
  6. Step 6: Final answer
    x = 3,387.15

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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.