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Finding the Fourth Proportional to 7,105.68, 10,657.08 and 1,910.34

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Solution

The fourth proportional to 7,105.68, 10,657.08 and 1,910.34 is: 2,865.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.68 : 10,657.08 = 1,910.34 : x
  2. Step 2: Convert to fraction form
    7,105.68/10,657.08 = 1,910.34/x
  3. Step 3: Cross multiply
    7,105.68x = 10,657.08 × 1,910.34
  4. Step 4: Simplify right side
    7,105.68x = 20,358,646.21
  5. Step 5: Solve for x
    x = 20,358,646.21/7,105.68
  6. Step 6: Final answer
    x = 2,865.12

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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.