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Finding the Fourth Proportional to 10,074.85, 15,096.87 and 4,228.27

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Solution

The fourth proportional to 10,074.85, 15,096.87 and 4,228.27 is: 6,335.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074.85 : 15,096.87 = 4,228.27 : x
  2. Step 2: Convert to fraction form
    10,074.85/15,096.87 = 4,228.27/x
  3. Step 3: Cross multiply
    10,074.85x = 15,096.87 × 4,228.27
  4. Step 4: Simplify right side
    10,074.85x = 63,833,642.51
  5. Step 5: Solve for x
    x = 63,833,642.51/10,074.85
  6. Step 6: Final answer
    x = 6,335.94

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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.