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Finding the Fourth Proportional to 10,087.50, 13,920.75 and 5,895.75

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Solution

The fourth proportional to 10,087.50, 13,920.75 and 5,895.75 is: 8,136.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,087.50 : 13,920.75 = 5,895.75 : x
  2. Step 2: Convert to fraction form
    10,087.50/13,920.75 = 5,895.75/x
  3. Step 3: Cross multiply
    10,087.50x = 13,920.75 × 5,895.75
  4. Step 4: Simplify right side
    10,087.50x = 82,073,261.81
  5. Step 5: Solve for x
    x = 82,073,261.81/10,087.50
  6. Step 6: Final answer
    x = 8,136.14

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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.