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Finding the Fourth Proportional to 8,502.64, 12,749.06 and 3,302.44

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Solution

The fourth proportional to 8,502.64, 12,749.06 and 3,302.44 is: 4,951.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.64 : 12,749.06 = 3,302.44 : x
  2. Step 2: Convert to fraction form
    8,502.64/12,749.06 = 3,302.44/x
  3. Step 3: Cross multiply
    8,502.64x = 12,749.06 × 3,302.44
  4. Step 4: Simplify right side
    8,502.64x = 42,103,005.71
  5. Step 5: Solve for x
    x = 42,103,005.71/8,502.64
  6. Step 6: Final answer
    x = 4,951.76

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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.