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Finding the Fourth Proportional to 7,106.68, 10,658.58 and 1,911.34

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Solution

The fourth proportional to 7,106.68, 10,658.58 and 1,911.34 is: 2,866.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.68 : 10,658.58 = 1,911.34 : x
  2. Step 2: Convert to fraction form
    7,106.68/10,658.58 = 1,911.34/x
  3. Step 3: Cross multiply
    7,106.68x = 10,658.58 × 1,911.34
  4. Step 4: Simplify right side
    7,106.68x = 20,372,170.30
  5. Step 5: Solve for x
    x = 20,372,170.30/7,106.68
  6. Step 6: Final answer
    x = 2,866.62

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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.