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Finding the Fourth Proportional to 10,078.68, 15,112.84 and 4,527.26

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Solution

The fourth proportional to 10,078.68, 15,112.84 and 4,527.26 is: 6,788.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.68 : 15,112.84 = 4,527.26 : x
  2. Step 2: Convert to fraction form
    10,078.68/15,112.84 = 4,527.26/x
  3. Step 3: Cross multiply
    10,078.68x = 15,112.84 × 4,527.26
  4. Step 4: Simplify right side
    10,078.68x = 68,419,782.48
  5. Step 5: Solve for x
    x = 68,419,782.48/10,078.68
  6. Step 6: Final answer
    x = 6,788.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.