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Finding the Fourth Proportional to 7,147.84, 10,717.80 and 2,465.32

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Solution

The fourth proportional to 7,147.84, 10,717.80 and 2,465.32 is: 3,696.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.84 : 10,717.80 = 2,465.32 : x
  2. Step 2: Convert to fraction form
    7,147.84/10,717.80 = 2,465.32/x
  3. Step 3: Cross multiply
    7,147.84x = 10,717.80 × 2,465.32
  4. Step 4: Simplify right side
    7,147.84x = 26,422,806.70
  5. Step 5: Solve for x
    x = 26,422,806.70/7,147.84
  6. Step 6: Final answer
    x = 3,696.61

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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.