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Finding the Fourth Proportional to 8,726.08, 13,089.24 and 8,049

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Solution

The fourth proportional to 8,726.08, 13,089.24 and 8,049 is: 12,073.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,726.08 : 13,089.24 = 8,049 : x
  2. Step 2: Convert to fraction form
    8,726.08/13,089.24 = 8,049/x
  3. Step 3: Cross multiply
    8,726.08x = 13,089.24 × 8,049
  4. Step 4: Simplify right side
    8,726.08x = 105,355,292.76
  5. Step 5: Solve for x
    x = 105,355,292.76/8,726.08
  6. Step 6: Final answer
    x = 12,073.61

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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.