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Finding the Fourth Proportional to 7,758.15, 11,643.96 and 4,062.96

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Solution

The fourth proportional to 7,758.15, 11,643.96 and 4,062.96 is: 6,097.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.15 : 11,643.96 = 4,062.96 : x
  2. Step 2: Convert to fraction form
    7,758.15/11,643.96 = 4,062.96/x
  3. Step 3: Cross multiply
    7,758.15x = 11,643.96 × 4,062.96
  4. Step 4: Simplify right side
    7,758.15x = 47,308,943.72
  5. Step 5: Solve for x
    x = 47,308,943.72/7,758.15
  6. Step 6: Final answer
    x = 6,097.97

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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.