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Finding the Fourth Proportional to 5,363.12, 8,046 and 4,332.47

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Solution

The fourth proportional to 5,363.12, 8,046 and 4,332.47 is: 6,499.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,363.12 : 8,046 = 4,332.47 : x
  2. Step 2: Convert to fraction form
    5,363.12/8,046 = 4,332.47/x
  3. Step 3: Cross multiply
    5,363.12x = 8,046 × 4,332.47
  4. Step 4: Simplify right side
    5,363.12x = 34,859,013.39
  5. Step 5: Solve for x
    x = 34,859,013.39/5,363.12
  6. Step 6: Final answer
    x = 6,499.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.