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Finding the Fourth Proportional to 10,143.12, 15,219.64 and 5,698

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Solution

The fourth proportional to 10,143.12, 15,219.64 and 5,698 is: 8,549.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143.12 : 15,219.64 = 5,698 : x
  2. Step 2: Convert to fraction form
    10,143.12/15,219.64 = 5,698/x
  3. Step 3: Cross multiply
    10,143.12x = 15,219.64 × 5,698
  4. Step 4: Simplify right side
    10,143.12x = 86,721,508.72
  5. Step 5: Solve for x
    x = 86,721,508.72/10,143.12
  6. Step 6: Final answer
    x = 8,549.79

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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.