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Finding the Fourth Proportional to 8,695.53, 13,033.23 and 4,005.71

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Solution

The fourth proportional to 8,695.53, 13,033.23 and 4,005.71 is: 6,003.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,695.53 : 13,033.23 = 4,005.71 : x
  2. Step 2: Convert to fraction form
    8,695.53/13,033.23 = 4,005.71/x
  3. Step 3: Cross multiply
    8,695.53x = 13,033.23 × 4,005.71
  4. Step 4: Simplify right side
    8,695.53x = 52,207,274.58
  5. Step 5: Solve for x
    x = 52,207,274.58/8,695.53
  6. Step 6: Final answer
    x = 6,003.92

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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.