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Finding the Fourth Proportional to 7,104.92, 10,657.98 and 1,911.08

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Solution

The fourth proportional to 7,104.92, 10,657.98 and 1,911.08 is: 2,866.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,104.92 : 10,657.98 = 1,911.08 : x
  2. Step 2: Convert to fraction form
    7,104.92/10,657.98 = 1,911.08/x
  3. Step 3: Cross multiply
    7,104.92x = 10,657.98 × 1,911.08
  4. Step 4: Simplify right side
    7,104.92x = 20,368,252.42
  5. Step 5: Solve for x
    x = 20,368,252.42/7,104.92
  6. Step 6: Final answer
    x = 2,866.78

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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.