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Finding the Fourth Proportional to 8,506.61, 12,752.59 and 2,959.22

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Solution

The fourth proportional to 8,506.61, 12,752.59 and 2,959.22 is: 4,436.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.61 : 12,752.59 = 2,959.22 : x
  2. Step 2: Convert to fraction form
    8,506.61/12,752.59 = 2,959.22/x
  3. Step 3: Cross multiply
    8,506.61x = 12,752.59 × 2,959.22
  4. Step 4: Simplify right side
    8,506.61x = 37,737,719.38
  5. Step 5: Solve for x
    x = 37,737,719.38/8,506.61
  6. Step 6: Final answer
    x = 4,436.28

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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.