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Finding the Fourth Proportional to 6,943.74, 10,399.02 and 4,013.16

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Solution

The fourth proportional to 6,943.74, 10,399.02 and 4,013.16 is: 6,010.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943.74 : 10,399.02 = 4,013.16 : x
  2. Step 2: Convert to fraction form
    6,943.74/10,399.02 = 4,013.16/x
  3. Step 3: Cross multiply
    6,943.74x = 10,399.02 × 4,013.16
  4. Step 4: Simplify right side
    6,943.74x = 41,732,931.10
  5. Step 5: Solve for x
    x = 41,732,931.10/6,943.74
  6. Step 6: Final answer
    x = 6,010.15

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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.