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Finding the Fourth Proportional to 6,510.92, 8,986.44 and 5,195

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Solution

The fourth proportional to 6,510.92, 8,986.44 and 5,195 is: 7,170.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.92 : 8,986.44 = 5,195 : x
  2. Step 2: Convert to fraction form
    6,510.92/8,986.44 = 5,195/x
  3. Step 3: Cross multiply
    6,510.92x = 8,986.44 × 5,195
  4. Step 4: Simplify right side
    6,510.92x = 46,684,555.80
  5. Step 5: Solve for x
    x = 46,684,555.80/6,510.92
  6. Step 6: Final answer
    x = 7,170.19

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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.