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Finding the Fourth Proportional to 7,045.75, 9,723.11 and 4,061.56

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Solution

The fourth proportional to 7,045.75, 9,723.11 and 4,061.56 is: 5,604.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,045.75 : 9,723.11 = 4,061.56 : x
  2. Step 2: Convert to fraction form
    7,045.75/9,723.11 = 4,061.56/x
  3. Step 3: Cross multiply
    7,045.75x = 9,723.11 × 4,061.56
  4. Step 4: Simplify right side
    7,045.75x = 39,490,994.65
  5. Step 5: Solve for x
    x = 39,490,994.65/7,045.75
  6. Step 6: Final answer
    x = 5,604.94

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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.