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Finding the Fourth Proportional to 7,454.28, 10,286.90 and 4,097.06

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Solution

The fourth proportional to 7,454.28, 10,286.90 and 4,097.06 is: 5,653.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454.28 : 10,286.90 = 4,097.06 : x
  2. Step 2: Convert to fraction form
    7,454.28/10,286.90 = 4,097.06/x
  3. Step 3: Cross multiply
    7,454.28x = 10,286.90 × 4,097.06
  4. Step 4: Simplify right side
    7,454.28x = 42,146,056.76
  5. Step 5: Solve for x
    x = 42,146,056.76/7,454.28
  6. Step 6: Final answer
    x = 5,653.94

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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.