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Finding the Fourth Proportional to 10,348.64, 15,522.92 and 3,423.14

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Solution

The fourth proportional to 10,348.64, 15,522.92 and 3,423.14 is: 5,134.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.64 : 15,522.92 = 3,423.14 : x
  2. Step 2: Convert to fraction form
    10,348.64/15,522.92 = 3,423.14/x
  3. Step 3: Cross multiply
    10,348.64x = 15,522.92 × 3,423.14
  4. Step 4: Simplify right side
    10,348.64x = 53,137,128.37
  5. Step 5: Solve for x
    x = 53,137,128.37/10,348.64
  6. Step 6: Final answer
    x = 5,134.70

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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.