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Finding the Fourth Proportional to 7,427.74, 11,134.11 and 4,656.36

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Solution

The fourth proportional to 7,427.74, 11,134.11 and 4,656.36 is: 6,979.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427.74 : 11,134.11 = 4,656.36 : x
  2. Step 2: Convert to fraction form
    7,427.74/11,134.11 = 4,656.36/x
  3. Step 3: Cross multiply
    7,427.74x = 11,134.11 × 4,656.36
  4. Step 4: Simplify right side
    7,427.74x = 51,844,368.77
  5. Step 5: Solve for x
    x = 51,844,368.77/7,427.74
  6. Step 6: Final answer
    x = 6,979.83

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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.