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Finding the Fourth Proportional to 7,061.04, 9,744.84 and 4,266

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Solution

The fourth proportional to 7,061.04, 9,744.84 and 4,266 is: 5,887.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061.04 : 9,744.84 = 4,266 : x
  2. Step 2: Convert to fraction form
    7,061.04/9,744.84 = 4,266/x
  3. Step 3: Cross multiply
    7,061.04x = 9,744.84 × 4,266
  4. Step 4: Simplify right side
    7,061.04x = 41,571,487.44
  5. Step 5: Solve for x
    x = 41,571,487.44/7,061.04
  6. Step 6: Final answer
    x = 5,887.45

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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.