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Finding the Fourth Proportional to 8,707.84, 12,009.87 and 5,726.73

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Solution

The fourth proportional to 8,707.84, 12,009.87 and 5,726.73 is: 7,898.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,707.84 : 12,009.87 = 5,726.73 : x
  2. Step 2: Convert to fraction form
    8,707.84/12,009.87 = 5,726.73/x
  3. Step 3: Cross multiply
    8,707.84x = 12,009.87 × 5,726.73
  4. Step 4: Simplify right side
    8,707.84x = 68,777,327.86
  5. Step 5: Solve for x
    x = 68,777,327.86/8,707.84
  6. Step 6: Final answer
    x = 7,898.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.