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Finding the Fourth Proportional to 10,074.72, 15,096.69 and 4,228.14

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Solution

The fourth proportional to 10,074.72, 15,096.69 and 4,228.14 is: 6,335.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074.72 : 15,096.69 = 4,228.14 : x
  2. Step 2: Convert to fraction form
    10,074.72/15,096.69 = 4,228.14/x
  3. Step 3: Cross multiply
    10,074.72x = 15,096.69 × 4,228.14
  4. Step 4: Simplify right side
    10,074.72x = 63,830,918.86
  5. Step 5: Solve for x
    x = 63,830,918.86/10,074.72
  6. Step 6: Final answer
    x = 6,335.75

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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.