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Finding the Fourth Proportional to 7,340.77, 11,001.41 and 4,000.47

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Solution

The fourth proportional to 7,340.77, 11,001.41 and 4,000.47 is: 5,995.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,340.77 : 11,001.41 = 4,000.47 : x
  2. Step 2: Convert to fraction form
    7,340.77/11,001.41 = 4,000.47/x
  3. Step 3: Cross multiply
    7,340.77x = 11,001.41 × 4,000.47
  4. Step 4: Simplify right side
    7,340.77x = 44,010,810.66
  5. Step 5: Solve for x
    x = 44,010,810.66/7,340.77
  6. Step 6: Final answer
    x = 5,995.39

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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.