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Finding the Fourth Proportional to 7,809.16, 11,718.36 and 2,882.24

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Solution

The fourth proportional to 7,809.16, 11,718.36 and 2,882.24 is: 4,325.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.16 : 11,718.36 = 2,882.24 : x
  2. Step 2: Convert to fraction form
    7,809.16/11,718.36 = 2,882.24/x
  3. Step 3: Cross multiply
    7,809.16x = 11,718.36 × 2,882.24
  4. Step 4: Simplify right side
    7,809.16x = 33,775,125.93
  5. Step 5: Solve for x
    x = 33,775,125.93/7,809.16
  6. Step 6: Final answer
    x = 4,325.07

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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.