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Finding the Fourth Proportional to 8,356.64, 12,537.12 and 4,460

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Solution

The fourth proportional to 8,356.64, 12,537.12 and 4,460 is: 6,691.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.64 : 12,537.12 = 4,460 : x
  2. Step 2: Convert to fraction form
    8,356.64/12,537.12 = 4,460/x
  3. Step 3: Cross multiply
    8,356.64x = 12,537.12 × 4,460
  4. Step 4: Simplify right side
    8,356.64x = 55,915,555.20
  5. Step 5: Solve for x
    x = 55,915,555.20/8,356.64
  6. Step 6: Final answer
    x = 6,691.15

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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.