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Finding the Fourth Proportional to 8,332.99, 11,487.67 and 5,677

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Solution

The fourth proportional to 8,332.99, 11,487.67 and 5,677 is: 7,826.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,332.99 : 11,487.67 = 5,677 : x
  2. Step 2: Convert to fraction form
    8,332.99/11,487.67 = 5,677/x
  3. Step 3: Cross multiply
    8,332.99x = 11,487.67 × 5,677
  4. Step 4: Simplify right side
    8,332.99x = 65,215,502.59
  5. Step 5: Solve for x
    x = 65,215,502.59/8,332.99
  6. Step 6: Final answer
    x = 7,826.18

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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.