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Finding the Fourth Proportional to 7,758.15, 11,643.95 and 4,062.98

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Solution

The fourth proportional to 7,758.15, 11,643.95 and 4,062.98 is: 6,097.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.15 : 11,643.95 = 4,062.98 : x
  2. Step 2: Convert to fraction form
    7,758.15/11,643.95 = 4,062.98/x
  3. Step 3: Cross multiply
    7,758.15x = 11,643.95 × 4,062.98
  4. Step 4: Simplify right side
    7,758.15x = 47,309,057.44
  5. Step 5: Solve for x
    x = 47,309,057.44/7,758.15
  6. Step 6: Final answer
    x = 6,097.98

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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.