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Finding the Fourth Proportional to 6,712.50, 10,065.77 and 3,591.91

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Solution

The fourth proportional to 6,712.50, 10,065.77 and 3,591.91 is: 5,386.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.50 : 10,065.77 = 3,591.91 : x
  2. Step 2: Convert to fraction form
    6,712.50/10,065.77 = 3,591.91/x
  3. Step 3: Cross multiply
    6,712.50x = 10,065.77 × 3,591.91
  4. Step 4: Simplify right side
    6,712.50x = 36,155,348.01
  5. Step 5: Solve for x
    x = 36,155,348.01/6,712.50
  6. Step 6: Final answer
    x = 5,386.27

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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.