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Finding the Fourth Proportional to 7,178.41, 10,754.88 and 6,127.87

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Solution

The fourth proportional to 7,178.41, 10,754.88 and 6,127.87 is: 9,180.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.41 : 10,754.88 = 6,127.87 : x
  2. Step 2: Convert to fraction form
    7,178.41/10,754.88 = 6,127.87/x
  3. Step 3: Cross multiply
    7,178.41x = 10,754.88 × 6,127.87
  4. Step 4: Simplify right side
    7,178.41x = 65,904,506.51
  5. Step 5: Solve for x
    x = 65,904,506.51/7,178.41
  6. Step 6: Final answer
    x = 9,180.93

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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.