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Finding the Fourth Proportional to 10,048.74, 15,057.81 and 5,110.98

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Solution

The fourth proportional to 10,048.74, 15,057.81 and 5,110.98 is: 7,658.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.74 : 15,057.81 = 5,110.98 : x
  2. Step 2: Convert to fraction form
    10,048.74/15,057.81 = 5,110.98/x
  3. Step 3: Cross multiply
    10,048.74x = 15,057.81 × 5,110.98
  4. Step 4: Simplify right side
    10,048.74x = 76,960,165.75
  5. Step 5: Solve for x
    x = 76,960,165.75/10,048.74
  6. Step 6: Final answer
    x = 7,658.69

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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.