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Finding the Fourth Proportional to 8,132.58, 11,223.18 and 4,595.71

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Solution

The fourth proportional to 8,132.58, 11,223.18 and 4,595.71 is: 6,342.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.58 : 11,223.18 = 4,595.71 : x
  2. Step 2: Convert to fraction form
    8,132.58/11,223.18 = 4,595.71/x
  3. Step 3: Cross multiply
    8,132.58x = 11,223.18 × 4,595.71
  4. Step 4: Simplify right side
    8,132.58x = 51,578,480.56
  5. Step 5: Solve for x
    x = 51,578,480.56/8,132.58
  6. Step 6: Final answer
    x = 6,342.20

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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.