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Finding the Fourth Proportional to 7,813.32, 11,713.20 and 7,378.38

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Solution

The fourth proportional to 7,813.32, 11,713.20 and 7,378.38 is: 11,061.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.32 : 11,713.20 = 7,378.38 : x
  2. Step 2: Convert to fraction form
    7,813.32/11,713.20 = 7,378.38/x
  3. Step 3: Cross multiply
    7,813.32x = 11,713.20 × 7,378.38
  4. Step 4: Simplify right side
    7,813.32x = 86,424,440.62
  5. Step 5: Solve for x
    x = 86,424,440.62/7,813.32
  6. Step 6: Final answer
    x = 11,061.17

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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.