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Finding the Fourth Proportional to 4,711.96, 7,069.02 and 3,110.68

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Solution

The fourth proportional to 4,711.96, 7,069.02 and 3,110.68 is: 4,666.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.96 : 7,069.02 = 3,110.68 : x
  2. Step 2: Convert to fraction form
    4,711.96/7,069.02 = 3,110.68/x
  3. Step 3: Cross multiply
    4,711.96x = 7,069.02 × 3,110.68
  4. Step 4: Simplify right side
    4,711.96x = 21,989,459.13
  5. Step 5: Solve for x
    x = 21,989,459.13/4,711.96
  6. Step 6: Final answer
    x = 4,666.73

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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.