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Finding the Fourth Proportional to 8,695.92, 13,014.71 and 7,135.86

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Solution

The fourth proportional to 8,695.92, 13,014.71 and 7,135.86 is: 10,679.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,695.92 : 13,014.71 = 7,135.86 : x
  2. Step 2: Convert to fraction form
    8,695.92/13,014.71 = 7,135.86/x
  3. Step 3: Cross multiply
    8,695.92x = 13,014.71 × 7,135.86
  4. Step 4: Simplify right side
    8,695.92x = 92,871,148.50
  5. Step 5: Solve for x
    x = 92,871,148.50/8,695.92
  6. Step 6: Final answer
    x = 10,679.85

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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.