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Finding the Fourth Proportional to 8,423.68, 12,638.72 and 3,803.52

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Solution

The fourth proportional to 8,423.68, 12,638.72 and 3,803.52 is: 5,706.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,423.68 : 12,638.72 = 3,803.52 : x
  2. Step 2: Convert to fraction form
    8,423.68/12,638.72 = 3,803.52/x
  3. Step 3: Cross multiply
    8,423.68x = 12,638.72 × 3,803.52
  4. Step 4: Simplify right side
    8,423.68x = 48,071,624.29
  5. Step 5: Solve for x
    x = 48,071,624.29/8,423.68
  6. Step 6: Final answer
    x = 5,706.72

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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.