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Finding the Fourth Proportional to 8,535.71, 12,803.57 and 3,337.94

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Solution

The fourth proportional to 8,535.71, 12,803.57 and 3,337.94 is: 5,006.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.71 : 12,803.57 = 3,337.94 : x
  2. Step 2: Convert to fraction form
    8,535.71/12,803.57 = 3,337.94/x
  3. Step 3: Cross multiply
    8,535.71x = 12,803.57 × 3,337.94
  4. Step 4: Simplify right side
    8,535.71x = 42,737,548.45
  5. Step 5: Solve for x
    x = 42,737,548.45/8,535.71
  6. Step 6: Final answer
    x = 5,006.91

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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.