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Finding the Fourth Proportional to 7,260.65, 10,876.38 and 6,145.28

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Solution

The fourth proportional to 7,260.65, 10,876.38 and 6,145.28 is: 9,205.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,260.65 : 10,876.38 = 6,145.28 : x
  2. Step 2: Convert to fraction form
    7,260.65/10,876.38 = 6,145.28/x
  3. Step 3: Cross multiply
    7,260.65x = 10,876.38 × 6,145.28
  4. Step 4: Simplify right side
    7,260.65x = 66,838,400.49
  5. Step 5: Solve for x
    x = 66,838,400.49/7,260.65
  6. Step 6: Final answer
    x = 9,205.57

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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.