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Finding the Fourth Proportional to 8,435.80, 12,653.70 and 8,306.20

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Solution

The fourth proportional to 8,435.80, 12,653.70 and 8,306.20 is: 12,459.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.80 : 12,653.70 = 8,306.20 : x
  2. Step 2: Convert to fraction form
    8,435.80/12,653.70 = 8,306.20/x
  3. Step 3: Cross multiply
    8,435.80x = 12,653.70 × 8,306.20
  4. Step 4: Simplify right side
    8,435.80x = 105,104,162.94
  5. Step 5: Solve for x
    x = 105,104,162.94/8,435.80
  6. Step 6: Final answer
    x = 12,459.30

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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.