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Finding the Fourth Proportional to 7,266, 10,838.67 and 7,023.04

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Solution

The fourth proportional to 7,266, 10,838.67 and 7,023.04 is: 10,476.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,266 : 10,838.67 = 7,023.04 : x
  2. Step 2: Convert to fraction form
    7,266/10,838.67 = 7,023.04/x
  3. Step 3: Cross multiply
    7,266x = 10,838.67 × 7,023.04
  4. Step 4: Simplify right side
    7,266x = 76,120,412.96
  5. Step 5: Solve for x
    x = 76,120,412.96/7,266
  6. Step 6: Final answer
    x = 10,476.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.