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Finding the Fourth Proportional to 8,332, 11,498.20 and 4,606

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Solution

The fourth proportional to 8,332, 11,498.20 and 4,606 is: 6,356.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,332 : 11,498.20 = 4,606 : x
  2. Step 2: Convert to fraction form
    8,332/11,498.20 = 4,606/x
  3. Step 3: Cross multiply
    8,332x = 11,498.20 × 4,606
  4. Step 4: Simplify right side
    8,332x = 52,960,709.20
  5. Step 5: Solve for x
    x = 52,960,709.20/8,332
  6. Step 6: Final answer
    x = 6,356.30

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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.