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Finding the Fourth Proportional to 7,934.63, 10,947.29 and 5,282.46

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Solution

The fourth proportional to 7,934.63, 10,947.29 and 5,282.46 is: 7,288.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,934.63 : 10,947.29 = 5,282.46 : x
  2. Step 2: Convert to fraction form
    7,934.63/10,947.29 = 5,282.46/x
  3. Step 3: Cross multiply
    7,934.63x = 10,947.29 × 5,282.46
  4. Step 4: Simplify right side
    7,934.63x = 57,828,595.12
  5. Step 5: Solve for x
    x = 57,828,595.12/7,934.63
  6. Step 6: Final answer
    x = 7,288.13

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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.