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Finding the Fourth Proportional to 8,219.34, 12,329.10 and 2,376

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Solution

The fourth proportional to 8,219.34, 12,329.10 and 2,376 is: 3,564.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.34 : 12,329.10 = 2,376 : x
  2. Step 2: Convert to fraction form
    8,219.34/12,329.10 = 2,376/x
  3. Step 3: Cross multiply
    8,219.34x = 12,329.10 × 2,376
  4. Step 4: Simplify right side
    8,219.34x = 29,293,941.60
  5. Step 5: Solve for x
    x = 29,293,941.60/8,219.34
  6. Step 6: Final answer
    x = 3,564.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.