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Finding the Fourth Proportional to 7,446.27, 10,275.78 and 4,089.01

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Solution

The fourth proportional to 7,446.27, 10,275.78 and 4,089.01 is: 5,642.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.27 : 10,275.78 = 4,089.01 : x
  2. Step 2: Convert to fraction form
    7,446.27/10,275.78 = 4,089.01/x
  3. Step 3: Cross multiply
    7,446.27x = 10,275.78 × 4,089.01
  4. Step 4: Simplify right side
    7,446.27x = 42,017,767.18
  5. Step 5: Solve for x
    x = 42,017,767.18/7,446.27
  6. Step 6: Final answer
    x = 5,642.79

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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.