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Finding the Fourth Proportional to 10,057.40, 15,080.04 and 4,509.74

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Solution

The fourth proportional to 10,057.40, 15,080.04 and 4,509.74 is: 6,761.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.40 : 15,080.04 = 4,509.74 : x
  2. Step 2: Convert to fraction form
    10,057.40/15,080.04 = 4,509.74/x
  3. Step 3: Cross multiply
    10,057.40x = 15,080.04 × 4,509.74
  4. Step 4: Simplify right side
    10,057.40x = 68,007,059.59
  5. Step 5: Solve for x
    x = 68,007,059.59/10,057.40
  6. Step 6: Final answer
    x = 6,761.89

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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.