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Finding the Fourth Proportional to 10,077.44, 15,116.56 and 3,152

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Solution

The fourth proportional to 10,077.44, 15,116.56 and 3,152 is: 4,728.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.44 : 15,116.56 = 3,152 : x
  2. Step 2: Convert to fraction form
    10,077.44/15,116.56 = 3,152/x
  3. Step 3: Cross multiply
    10,077.44x = 15,116.56 × 3,152
  4. Step 4: Simplify right side
    10,077.44x = 47,647,397.12
  5. Step 5: Solve for x
    x = 47,647,397.12/10,077.44
  6. Step 6: Final answer
    x = 4,728.13

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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.