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Finding the Fourth Proportional to 10,142.88, 15,211.84 and 5,206.24

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Solution

The fourth proportional to 10,142.88, 15,211.84 and 5,206.24 is: 7,808.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.88 : 15,211.84 = 5,206.24 : x
  2. Step 2: Convert to fraction form
    10,142.88/15,211.84 = 5,206.24/x
  3. Step 3: Cross multiply
    10,142.88x = 15,211.84 × 5,206.24
  4. Step 4: Simplify right side
    10,142.88x = 79,196,489.88
  5. Step 5: Solve for x
    x = 79,196,489.88/10,142.88
  6. Step 6: Final answer
    x = 7,808.09

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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.