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Finding the Fourth Proportional to 10,134.69, 13,980.03 and 6,098.72

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Solution

The fourth proportional to 10,134.69, 13,980.03 and 6,098.72 is: 8,412.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,134.69 : 13,980.03 = 6,098.72 : x
  2. Step 2: Convert to fraction form
    10,134.69/13,980.03 = 6,098.72/x
  3. Step 3: Cross multiply
    10,134.69x = 13,980.03 × 6,098.72
  4. Step 4: Simplify right side
    10,134.69x = 85,260,218.66
  5. Step 5: Solve for x
    x = 85,260,218.66/10,134.69
  6. Step 6: Final answer
    x = 8,412.71

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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.