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Finding the Fourth Proportional to 10,934.80, 16,404.62 and 3,143

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Solution

The fourth proportional to 10,934.80, 16,404.62 and 3,143 is: 4,715.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,934.80 : 16,404.62 = 3,143 : x
  2. Step 2: Convert to fraction form
    10,934.80/16,404.62 = 3,143/x
  3. Step 3: Cross multiply
    10,934.80x = 16,404.62 × 3,143
  4. Step 4: Simplify right side
    10,934.80x = 51,559,720.66
  5. Step 5: Solve for x
    x = 51,559,720.66/10,934.80
  6. Step 6: Final answer
    x = 4,715.20

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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.