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Finding the Fourth Proportional to 6,952.47, 10,430.33 and 2,272.70

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Solution

The fourth proportional to 6,952.47, 10,430.33 and 2,272.70 is: 3,409.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.47 : 10,430.33 = 2,272.70 : x
  2. Step 2: Convert to fraction form
    6,952.47/10,430.33 = 2,272.70/x
  3. Step 3: Cross multiply
    6,952.47x = 10,430.33 × 2,272.70
  4. Step 4: Simplify right side
    6,952.47x = 23,704,947.48
  5. Step 5: Solve for x
    x = 23,704,947.48/6,952.47
  6. Step 6: Final answer
    x = 3,409.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.