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Finding the Fourth Proportional to 8,217.90, 11,345.99 and 7,332.16

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Solution

The fourth proportional to 8,217.90, 11,345.99 and 7,332.16 is: 10,123.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217.90 : 11,345.99 = 7,332.16 : x
  2. Step 2: Convert to fraction form
    8,217.90/11,345.99 = 7,332.16/x
  3. Step 3: Cross multiply
    8,217.90x = 11,345.99 × 7,332.16
  4. Step 4: Simplify right side
    8,217.90x = 83,190,614.04
  5. Step 5: Solve for x
    x = 83,190,614.04/8,217.90
  6. Step 6: Final answer
    x = 10,123.10

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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.