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Finding the Fourth Proportional to 7,111.80, 10,659.06 and 4,771.71

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Solution

The fourth proportional to 7,111.80, 10,659.06 and 4,771.71 is: 7,151.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.80 : 10,659.06 = 4,771.71 : x
  2. Step 2: Convert to fraction form
    7,111.80/10,659.06 = 4,771.71/x
  3. Step 3: Cross multiply
    7,111.80x = 10,659.06 × 4,771.71
  4. Step 4: Simplify right side
    7,111.80x = 50,861,943.19
  5. Step 5: Solve for x
    x = 50,861,943.19/7,111.80
  6. Step 6: Final answer
    x = 7,151.77

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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.