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Finding the Fourth Proportional to 7,046.10, 9,723.02 and 4,061.30

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Solution

The fourth proportional to 7,046.10, 9,723.02 and 4,061.30 is: 5,604.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.10 : 9,723.02 = 4,061.30 : x
  2. Step 2: Convert to fraction form
    7,046.10/9,723.02 = 4,061.30/x
  3. Step 3: Cross multiply
    7,046.10x = 9,723.02 × 4,061.30
  4. Step 4: Simplify right side
    7,046.10x = 39,488,032.20
  5. Step 5: Solve for x
    x = 39,488,032.20/7,046.10
  6. Step 6: Final answer
    x = 5,604.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.