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Finding the Fourth Proportional to 8,357.16, 11,532.38 and 4,772.52

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Solution

The fourth proportional to 8,357.16, 11,532.38 and 4,772.52 is: 6,585.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.16 : 11,532.38 = 4,772.52 : x
  2. Step 2: Convert to fraction form
    8,357.16/11,532.38 = 4,772.52/x
  3. Step 3: Cross multiply
    8,357.16x = 11,532.38 × 4,772.52
  4. Step 4: Simplify right side
    8,357.16x = 55,038,514.20
  5. Step 5: Solve for x
    x = 55,038,514.20/8,357.16
  6. Step 6: Final answer
    x = 6,585.79

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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.