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Finding the Fourth Proportional to 7,514.40, 10,369.80 and 4,202.40

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Solution

The fourth proportional to 7,514.40, 10,369.80 and 4,202.40 is: 5,799.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,514.40 : 10,369.80 = 4,202.40 : x
  2. Step 2: Convert to fraction form
    7,514.40/10,369.80 = 4,202.40/x
  3. Step 3: Cross multiply
    7,514.40x = 10,369.80 × 4,202.40
  4. Step 4: Simplify right side
    7,514.40x = 43,578,047.52
  5. Step 5: Solve for x
    x = 43,578,047.52/7,514.40
  6. Step 6: Final answer
    x = 5,799.27

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