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Finding the Fourth Proportional to 8,438.64, 12,661.15 and 3,507.87

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Solution

The fourth proportional to 8,438.64, 12,661.15 and 3,507.87 is: 5,263.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.64 : 12,661.15 = 3,507.87 : x
  2. Step 2: Convert to fraction form
    8,438.64/12,661.15 = 3,507.87/x
  3. Step 3: Cross multiply
    8,438.64x = 12,661.15 × 3,507.87
  4. Step 4: Simplify right side
    8,438.64x = 44,413,668.25
  5. Step 5: Solve for x
    x = 44,413,668.25/8,438.64
  6. Step 6: Final answer
    x = 5,263.13

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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.