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Finding the Fourth Proportional to 7,476.58, 11,204.29 and 4,146.30

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Solution

The fourth proportional to 7,476.58, 11,204.29 and 4,146.30 is: 6,213.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,476.58 : 11,204.29 = 4,146.30 : x
  2. Step 2: Convert to fraction form
    7,476.58/11,204.29 = 4,146.30/x
  3. Step 3: Cross multiply
    7,476.58x = 11,204.29 × 4,146.30
  4. Step 4: Simplify right side
    7,476.58x = 46,456,306.41
  5. Step 5: Solve for x
    x = 46,456,306.41/7,476.58
  6. Step 6: Final answer
    x = 6,213.58

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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.