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Finding the Fourth Proportional to 10,047.36, 15,080.37 and 5,120.70

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Solution

The fourth proportional to 10,047.36, 15,080.37 and 5,120.70 is: 7,685.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.36 : 15,080.37 = 5,120.70 : x
  2. Step 2: Convert to fraction form
    10,047.36/15,080.37 = 5,120.70/x
  3. Step 3: Cross multiply
    10,047.36x = 15,080.37 × 5,120.70
  4. Step 4: Simplify right side
    10,047.36x = 77,222,050.66
  5. Step 5: Solve for x
    x = 77,222,050.66/10,047.36
  6. Step 6: Final answer
    x = 7,685.81

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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.