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Finding the Fourth Proportional to 8,330.96, 12,488.16 and 4,634.88

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Solution

The fourth proportional to 8,330.96, 12,488.16 and 4,634.88 is: 6,947.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,330.96 : 12,488.16 = 4,634.88 : x
  2. Step 2: Convert to fraction form
    8,330.96/12,488.16 = 4,634.88/x
  3. Step 3: Cross multiply
    8,330.96x = 12,488.16 × 4,634.88
  4. Step 4: Simplify right side
    8,330.96x = 57,881,123.02
  5. Step 5: Solve for x
    x = 57,881,123.02/8,330.96
  6. Step 6: Final answer
    x = 6,947.71

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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.