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Finding the Fourth Proportional to 10,527.56, 15,767.58 and 6,138.44

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Solution

The fourth proportional to 10,527.56, 15,767.58 and 6,138.44 is: 9,193.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.56 : 15,767.58 = 6,138.44 : x
  2. Step 2: Convert to fraction form
    10,527.56/15,767.58 = 6,138.44/x
  3. Step 3: Cross multiply
    10,527.56x = 15,767.58 × 6,138.44
  4. Step 4: Simplify right side
    10,527.56x = 96,788,343.78
  5. Step 5: Solve for x
    x = 96,788,343.78/10,527.56
  6. Step 6: Final answer
    x = 9,193.81

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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.