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Finding the Fourth Proportional to 8,475.34, 12,715.07 and 2,632

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Solution

The fourth proportional to 8,475.34, 12,715.07 and 2,632 is: 3,948.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,475.34 : 12,715.07 = 2,632 : x
  2. Step 2: Convert to fraction form
    8,475.34/12,715.07 = 2,632/x
  3. Step 3: Cross multiply
    8,475.34x = 12,715.07 × 2,632
  4. Step 4: Simplify right side
    8,475.34x = 33,466,064.24
  5. Step 5: Solve for x
    x = 33,466,064.24/8,475.34
  6. Step 6: Final answer
    x = 3,948.64

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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.