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Finding the Fourth Proportional to 8,352, 12,530.88 and 3,423.24

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Solution

The fourth proportional to 8,352, 12,530.88 and 3,423.24 is: 5,136.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,352 : 12,530.88 = 3,423.24 : x
  2. Step 2: Convert to fraction form
    8,352/12,530.88 = 3,423.24/x
  3. Step 3: Cross multiply
    8,352x = 12,530.88 × 3,423.24
  4. Step 4: Simplify right side
    8,352x = 42,896,209.65
  5. Step 5: Solve for x
    x = 42,896,209.65/8,352
  6. Step 6: Final answer
    x = 5,136.04

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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.