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Finding the Fourth Proportional to 10,346.88, 14,274.25 and 8,099.74

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Solution

The fourth proportional to 10,346.88, 14,274.25 and 8,099.74 is: 11,174.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,346.88 : 14,274.25 = 8,099.74 : x
  2. Step 2: Convert to fraction form
    10,346.88/14,274.25 = 8,099.74/x
  3. Step 3: Cross multiply
    10,346.88x = 14,274.25 × 8,099.74
  4. Step 4: Simplify right side
    10,346.88x = 115,617,713.70
  5. Step 5: Solve for x
    x = 115,617,713.70/10,346.88
  6. Step 6: Final answer
    x = 11,174.16

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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.