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Finding the Fourth Proportional to 7,806.24, 10,760.16 and 7,162.72

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Solution

The fourth proportional to 7,806.24, 10,760.16 and 7,162.72 is: 9,873.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.24 : 10,760.16 = 7,162.72 : x
  2. Step 2: Convert to fraction form
    7,806.24/10,760.16 = 7,162.72/x
  3. Step 3: Cross multiply
    7,806.24x = 10,760.16 × 7,162.72
  4. Step 4: Simplify right side
    7,806.24x = 77,072,013.24
  5. Step 5: Solve for x
    x = 77,072,013.24/7,806.24
  6. Step 6: Final answer
    x = 9,873.13

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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.