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Finding the Fourth Proportional to 7,811.39, 11,667.16 and 7,069.82

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Solution

The fourth proportional to 7,811.39, 11,667.16 and 7,069.82 is: 10,559.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.39 : 11,667.16 = 7,069.82 : x
  2. Step 2: Convert to fraction form
    7,811.39/11,667.16 = 7,069.82/x
  3. Step 3: Cross multiply
    7,811.39x = 11,667.16 × 7,069.82
  4. Step 4: Simplify right side
    7,811.39x = 82,484,721.11
  5. Step 5: Solve for x
    x = 82,484,721.11/7,811.39
  6. Step 6: Final answer
    x = 10,559.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.