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Finding the Fourth Proportional to 10,087.69, 13,930.99 and 8,312.75

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Solution

The fourth proportional to 10,087.69, 13,930.99 and 8,312.75 is: 11,479.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,087.69 : 13,930.99 = 8,312.75 : x
  2. Step 2: Convert to fraction form
    10,087.69/13,930.99 = 8,312.75/x
  3. Step 3: Cross multiply
    10,087.69x = 13,930.99 × 8,312.75
  4. Step 4: Simplify right side
    10,087.69x = 115,804,924.05
  5. Step 5: Solve for x
    x = 115,804,924.05/10,087.69
  6. Step 6: Final answer
    x = 11,479.83

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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.