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Finding the Fourth Proportional to 7,294.64, 10,943.24 and 3,020.31

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Solution

The fourth proportional to 7,294.64, 10,943.24 and 3,020.31 is: 4,531.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.64 : 10,943.24 = 3,020.31 : x
  2. Step 2: Convert to fraction form
    7,294.64/10,943.24 = 3,020.31/x
  3. Step 3: Cross multiply
    7,294.64x = 10,943.24 × 3,020.31
  4. Step 4: Simplify right side
    7,294.64x = 33,051,962.10
  5. Step 5: Solve for x
    x = 33,051,962.10/7,294.64
  6. Step 6: Final answer
    x = 4,531.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.