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Finding the Fourth Proportional to 8,497.43, 12,746.70 and 2,257.35

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Solution

The fourth proportional to 8,497.43, 12,746.70 and 2,257.35 is: 3,386.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.43 : 12,746.70 = 2,257.35 : x
  2. Step 2: Convert to fraction form
    8,497.43/12,746.70 = 2,257.35/x
  3. Step 3: Cross multiply
    8,497.43x = 12,746.70 × 2,257.35
  4. Step 4: Simplify right side
    8,497.43x = 28,773,763.25
  5. Step 5: Solve for x
    x = 28,773,763.25/8,497.43
  6. Step 6: Final answer
    x = 3,386.17

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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.