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Finding the Fourth Proportional to 8,502.29, 12,742.63 and 4,806.59

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Solution

The fourth proportional to 8,502.29, 12,742.63 and 4,806.59 is: 7,203.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.29 : 12,742.63 = 4,806.59 : x
  2. Step 2: Convert to fraction form
    8,502.29/12,742.63 = 4,806.59/x
  3. Step 3: Cross multiply
    8,502.29x = 12,742.63 × 4,806.59
  4. Step 4: Simplify right side
    8,502.29x = 61,248,597.93
  5. Step 5: Solve for x
    x = 61,248,597.93/8,502.29
  6. Step 6: Final answer
    x = 7,203.78

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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.