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Finding the Fourth Proportional to 10,480.92, 15,706.68 and 5,803.08

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Solution

The fourth proportional to 10,480.92, 15,706.68 and 5,803.08 is: 8,696.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.92 : 15,706.68 = 5,803.08 : x
  2. Step 2: Convert to fraction form
    10,480.92/15,706.68 = 5,803.08/x
  3. Step 3: Cross multiply
    10,480.92x = 15,706.68 × 5,803.08
  4. Step 4: Simplify right side
    10,480.92x = 91,147,120.57
  5. Step 5: Solve for x
    x = 91,147,120.57/10,480.92
  6. Step 6: Final answer
    x = 8,696.48

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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.