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Finding the Fourth Proportional to 10,110, 13,951.98 and 5,918.16

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Solution

The fourth proportional to 10,110, 13,951.98 and 5,918.16 is: 8,167.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,110 : 13,951.98 = 5,918.16 : x
  2. Step 2: Convert to fraction form
    10,110/13,951.98 = 5,918.16/x
  3. Step 3: Cross multiply
    10,110x = 13,951.98 × 5,918.16
  4. Step 4: Simplify right side
    10,110x = 82,570,049.96
  5. Step 5: Solve for x
    x = 82,570,049.96/10,110
  6. Step 6: Final answer
    x = 8,167.17

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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.