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Finding the Fourth Proportional to 10,934.32, 16,401.50 and 3,143.14

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Solution

The fourth proportional to 10,934.32, 16,401.50 and 3,143.14 is: 4,714.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,934.32 : 16,401.50 = 3,143.14 : x
  2. Step 2: Convert to fraction form
    10,934.32/16,401.50 = 3,143.14/x
  3. Step 3: Cross multiply
    10,934.32x = 16,401.50 × 3,143.14
  4. Step 4: Simplify right side
    10,934.32x = 51,552,210.71
  5. Step 5: Solve for x
    x = 51,552,210.71/10,934.32
  6. Step 6: Final answer
    x = 4,714.72

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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.