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Finding the Fourth Proportional to 10,076.84, 15,116.16 and 3,151.16

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Solution

The fourth proportional to 10,076.84, 15,116.16 and 3,151.16 is: 4,727.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076.84 : 15,116.16 = 3,151.16 : x
  2. Step 2: Convert to fraction form
    10,076.84/15,116.16 = 3,151.16/x
  3. Step 3: Cross multiply
    10,076.84x = 15,116.16 × 3,151.16
  4. Step 4: Simplify right side
    10,076.84x = 47,633,438.75
  5. Step 5: Solve for x
    x = 47,633,438.75/10,076.84
  6. Step 6: Final answer
    x = 4,727.02

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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.