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Finding the Fourth Proportional to 10,033.70, 15,055.67 and 4,114.90

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Solution

The fourth proportional to 10,033.70, 15,055.67 and 4,114.90 is: 6,174.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.70 : 15,055.67 = 4,114.90 : x
  2. Step 2: Convert to fraction form
    10,033.70/15,055.67 = 4,114.90/x
  3. Step 3: Cross multiply
    10,033.70x = 15,055.67 × 4,114.90
  4. Step 4: Simplify right side
    10,033.70x = 61,952,576.48
  5. Step 5: Solve for x
    x = 61,952,576.48/10,033.70
  6. Step 6: Final answer
    x = 6,174.45

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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.