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Finding the Fourth Proportional to 7,105.47, 10,658.19 and 1,911.35

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Solution

The fourth proportional to 7,105.47, 10,658.19 and 1,911.35 is: 2,867.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.47 : 10,658.19 = 1,911.35 : x
  2. Step 2: Convert to fraction form
    7,105.47/10,658.19 = 1,911.35/x
  3. Step 3: Cross multiply
    7,105.47x = 10,658.19 × 1,911.35
  4. Step 4: Simplify right side
    7,105.47x = 20,371,531.46
  5. Step 5: Solve for x
    x = 20,371,531.46/7,105.47
  6. Step 6: Final answer
    x = 2,867.02

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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.