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Finding the Fourth Proportional to 7,424.76, 11,178.21 and 6,146.04

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Solution

The fourth proportional to 7,424.76, 11,178.21 and 6,146.04 is: 9,253.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,424.76 : 11,178.21 = 6,146.04 : x
  2. Step 2: Convert to fraction form
    7,424.76/11,178.21 = 6,146.04/x
  3. Step 3: Cross multiply
    7,424.76x = 11,178.21 × 6,146.04
  4. Step 4: Simplify right side
    7,424.76x = 68,701,725.79
  5. Step 5: Solve for x
    x = 68,701,725.79/7,424.76
  6. Step 6: Final answer
    x = 9,253.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.