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Finding the Fourth Proportional to 10,057.69, 15,075.24 and 4,723.48

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Solution

The fourth proportional to 10,057.69, 15,075.24 and 4,723.48 is: 7,079.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.69 : 15,075.24 = 4,723.48 : x
  2. Step 2: Convert to fraction form
    10,057.69/15,075.24 = 4,723.48/x
  3. Step 3: Cross multiply
    10,057.69x = 15,075.24 × 4,723.48
  4. Step 4: Simplify right side
    10,057.69x = 71,207,594.64
  5. Step 5: Solve for x
    x = 71,207,594.64/10,057.69
  6. Step 6: Final answer
    x = 7,079.92

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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.