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Finding the Fourth Proportional to 7,253.75, 10,009.42 and 4,269.40

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Solution

The fourth proportional to 7,253.75, 10,009.42 and 4,269.40 is: 5,891.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,253.75 : 10,009.42 = 4,269.40 : x
  2. Step 2: Convert to fraction form
    7,253.75/10,009.42 = 4,269.40/x
  3. Step 3: Cross multiply
    7,253.75x = 10,009.42 × 4,269.40
  4. Step 4: Simplify right side
    7,253.75x = 42,734,238.35
  5. Step 5: Solve for x
    x = 42,734,238.35/7,253.75
  6. Step 6: Final answer
    x = 5,891.33

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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.