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Finding the Fourth Proportional to 7,106.25, 10,656.14 and 3,410.22

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Solution

The fourth proportional to 7,106.25, 10,656.14 and 3,410.22 is: 5,113.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.25 : 10,656.14 = 3,410.22 : x
  2. Step 2: Convert to fraction form
    7,106.25/10,656.14 = 3,410.22/x
  3. Step 3: Cross multiply
    7,106.25x = 10,656.14 × 3,410.22
  4. Step 4: Simplify right side
    7,106.25x = 36,339,781.75
  5. Step 5: Solve for x
    x = 36,339,781.75/7,106.25
  6. Step 6: Final answer
    x = 5,113.78

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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.