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Finding the Fourth Proportional to 7,253.81, 10,009.50 and 4,269.47

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Solution

The fourth proportional to 7,253.81, 10,009.50 and 4,269.47 is: 5,891.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,253.81 : 10,009.50 = 4,269.47 : x
  2. Step 2: Convert to fraction form
    7,253.81/10,009.50 = 4,269.47/x
  3. Step 3: Cross multiply
    7,253.81x = 10,009.50 × 4,269.47
  4. Step 4: Simplify right side
    7,253.81x = 42,735,245.61
  5. Step 5: Solve for x
    x = 42,735,245.61/7,253.81
  6. Step 6: Final answer
    x = 5,891.42

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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.