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Finding the Fourth Proportional to 7,275.74, 10,913.67 and 2,894.31

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Solution

The fourth proportional to 7,275.74, 10,913.67 and 2,894.31 is: 4,341.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,275.74 : 10,913.67 = 2,894.31 : x
  2. Step 2: Convert to fraction form
    7,275.74/10,913.67 = 2,894.31/x
  3. Step 3: Cross multiply
    7,275.74x = 10,913.67 × 2,894.31
  4. Step 4: Simplify right side
    7,275.74x = 31,587,544.22
  5. Step 5: Solve for x
    x = 31,587,544.22/7,275.74
  6. Step 6: Final answer
    x = 4,341.49

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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.