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Finding the Fourth Proportional to 8,535.46, 12,783.53 and 8,239.95

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Solution

The fourth proportional to 8,535.46, 12,783.53 and 8,239.95 is: 12,340.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.46 : 12,783.53 = 8,239.95 : x
  2. Step 2: Convert to fraction form
    8,535.46/12,783.53 = 8,239.95/x
  3. Step 3: Cross multiply
    8,535.46x = 12,783.53 × 8,239.95
  4. Step 4: Simplify right side
    8,535.46x = 105,335,648.02
  5. Step 5: Solve for x
    x = 105,335,648.02/8,535.46
  6. Step 6: Final answer
    x = 12,340.95

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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.