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Finding the Fourth Proportional to 7,437.83, 11,158.82 and 6,047.74

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Solution

The fourth proportional to 7,437.83, 11,158.82 and 6,047.74 is: 9,073.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,437.83 : 11,158.82 = 6,047.74 : x
  2. Step 2: Convert to fraction form
    7,437.83/11,158.82 = 6,047.74/x
  3. Step 3: Cross multiply
    7,437.83x = 11,158.82 × 6,047.74
  4. Step 4: Simplify right side
    7,437.83x = 67,485,556.03
  5. Step 5: Solve for x
    x = 67,485,556.03/7,437.83
  6. Step 6: Final answer
    x = 9,073.29

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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.