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Finding the Fourth Proportional to 8,615.64, 12,923.49 and 3,421.50

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Solution

The fourth proportional to 8,615.64, 12,923.49 and 3,421.50 is: 5,132.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,615.64 : 12,923.49 = 3,421.50 : x
  2. Step 2: Convert to fraction form
    8,615.64/12,923.49 = 3,421.50/x
  3. Step 3: Cross multiply
    8,615.64x = 12,923.49 × 3,421.50
  4. Step 4: Simplify right side
    8,615.64x = 44,217,721.04
  5. Step 5: Solve for x
    x = 44,217,721.04/8,615.64
  6. Step 6: Final answer
    x = 5,132.26

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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.