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Finding the Fourth Proportional to 10,934.19, 16,401.15 and 3,143.07

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Solution

The fourth proportional to 10,934.19, 16,401.15 and 3,143.07 is: 4,714.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,934.19 : 16,401.15 = 3,143.07 : x
  2. Step 2: Convert to fraction form
    10,934.19/16,401.15 = 3,143.07/x
  3. Step 3: Cross multiply
    10,934.19x = 16,401.15 × 3,143.07
  4. Step 4: Simplify right side
    10,934.19x = 51,549,962.53
  5. Step 5: Solve for x
    x = 51,549,962.53/10,934.19
  6. Step 6: Final answer
    x = 4,714.57

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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.