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Finding the Fourth Proportional to 11,285.57, 15,569.17 and 6,806.84

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Solution

The fourth proportional to 11,285.57, 15,569.17 and 6,806.84 is: 9,390.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,285.57 : 15,569.17 = 6,806.84 : x
  2. Step 2: Convert to fraction form
    11,285.57/15,569.17 = 6,806.84/x
  3. Step 3: Cross multiply
    11,285.57x = 15,569.17 × 6,806.84
  4. Step 4: Simplify right side
    11,285.57x = 105,976,771.28
  5. Step 5: Solve for x
    x = 105,976,771.28/11,285.57
  6. Step 6: Final answer
    x = 9,390.47

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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.