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Finding the Fourth Proportional to 11,586.76, 15,983.56 and 7,050.83

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Solution

The fourth proportional to 11,586.76, 15,983.56 and 7,050.83 is: 9,726.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.76 : 15,983.56 = 7,050.83 : x
  2. Step 2: Convert to fraction form
    11,586.76/15,983.56 = 7,050.83/x
  3. Step 3: Cross multiply
    11,586.76x = 15,983.56 × 7,050.83
  4. Step 4: Simplify right side
    11,586.76x = 112,697,293.25
  5. Step 5: Solve for x
    x = 112,697,293.25/11,586.76
  6. Step 6: Final answer
    x = 9,726.39

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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.