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Finding the Fourth Proportional to 7,758.40, 11,628.35 and 5,405.66

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Solution

The fourth proportional to 7,758.40, 11,628.35 and 5,405.66 is: 8,102.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.40 : 11,628.35 = 5,405.66 : x
  2. Step 2: Convert to fraction form
    7,758.40/11,628.35 = 5,405.66/x
  3. Step 3: Cross multiply
    7,758.40x = 11,628.35 × 5,405.66
  4. Step 4: Simplify right side
    7,758.40x = 62,858,879.43
  5. Step 5: Solve for x
    x = 62,858,879.43/7,758.40
  6. Step 6: Final answer
    x = 8,102.05

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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.