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Finding the Fourth Proportional to 8,332.85, 11,476 and 8,151.41

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Solution

The fourth proportional to 8,332.85, 11,476 and 8,151.41 is: 11,226.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,332.85 : 11,476 = 8,151.41 : x
  2. Step 2: Convert to fraction form
    8,332.85/11,476 = 8,151.41/x
  3. Step 3: Cross multiply
    8,332.85x = 11,476 × 8,151.41
  4. Step 4: Simplify right side
    8,332.85x = 93,545,581.16
  5. Step 5: Solve for x
    x = 93,545,581.16/8,332.85
  6. Step 6: Final answer
    x = 11,226.12

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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.