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Finding the Fourth Proportional to 8,430.96, 12,642.24 and 2,586.16

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Solution

The fourth proportional to 8,430.96, 12,642.24 and 2,586.16 is: 3,877.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.96 : 12,642.24 = 2,586.16 : x
  2. Step 2: Convert to fraction form
    8,430.96/12,642.24 = 2,586.16/x
  3. Step 3: Cross multiply
    8,430.96x = 12,642.24 × 2,586.16
  4. Step 4: Simplify right side
    8,430.96x = 32,694,855.40
  5. Step 5: Solve for x
    x = 32,694,855.40/8,430.96
  6. Step 6: Final answer
    x = 3,877.95

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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.