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Finding the Fourth Proportional to 10,130.96, 13,980.84 and 5,882.88

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Solution

The fourth proportional to 10,130.96, 13,980.84 and 5,882.88 is: 8,118.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,130.96 : 13,980.84 = 5,882.88 : x
  2. Step 2: Convert to fraction form
    10,130.96/13,980.84 = 5,882.88/x
  3. Step 3: Cross multiply
    10,130.96x = 13,980.84 × 5,882.88
  4. Step 4: Simplify right side
    10,130.96x = 82,247,604.02
  5. Step 5: Solve for x
    x = 82,247,604.02/10,130.96
  6. Step 6: Final answer
    x = 8,118.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.