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Finding the Fourth Proportional to 10,710.92, 16,065.16 and 2,920.34

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Solution

The fourth proportional to 10,710.92, 16,065.16 and 2,920.34 is: 4,380.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.92 : 16,065.16 = 2,920.34 : x
  2. Step 2: Convert to fraction form
    10,710.92/16,065.16 = 2,920.34/x
  3. Step 3: Cross multiply
    10,710.92x = 16,065.16 × 2,920.34
  4. Step 4: Simplify right side
    10,710.92x = 46,915,729.35
  5. Step 5: Solve for x
    x = 46,915,729.35/10,710.92
  6. Step 6: Final answer
    x = 4,380.18

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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.