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Finding the Fourth Proportional to 7,754.07, 11,574.85 and 7,175.86

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Solution

The fourth proportional to 7,754.07, 11,574.85 and 7,175.86 is: 10,711.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.07 : 11,574.85 = 7,175.86 : x
  2. Step 2: Convert to fraction form
    7,754.07/11,574.85 = 7,175.86/x
  3. Step 3: Cross multiply
    7,754.07x = 11,574.85 × 7,175.86
  4. Step 4: Simplify right side
    7,754.07x = 83,059,503.12
  5. Step 5: Solve for x
    x = 83,059,503.12/7,754.07
  6. Step 6: Final answer
    x = 10,711.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.