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Finding the Fourth Proportional to 8,366.29, 12,538.50 and 3,430.35

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Solution

The fourth proportional to 8,366.29, 12,538.50 and 3,430.35 is: 5,141.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,366.29 : 12,538.50 = 3,430.35 : x
  2. Step 2: Convert to fraction form
    8,366.29/12,538.50 = 3,430.35/x
  3. Step 3: Cross multiply
    8,366.29x = 12,538.50 × 3,430.35
  4. Step 4: Simplify right side
    8,366.29x = 43,011,430.61
  5. Step 5: Solve for x
    x = 43,011,430.61/8,366.29
  6. Step 6: Final answer
    x = 5,141.04

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