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Finding the Fourth Proportional to 11,450.84, 15,806.78 and 9,691.52

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Solution

The fourth proportional to 11,450.84, 15,806.78 and 9,691.52 is: 13,378.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,450.84 : 15,806.78 = 9,691.52 : x
  2. Step 2: Convert to fraction form
    11,450.84/15,806.78 = 9,691.52/x
  3. Step 3: Cross multiply
    11,450.84x = 15,806.78 × 9,691.52
  4. Step 4: Simplify right side
    11,450.84x = 153,191,724.51
  5. Step 5: Solve for x
    x = 153,191,724.51/11,450.84
  6. Step 6: Final answer
    x = 13,378.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.