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Finding the Fourth Proportional to 11,366.28, 15,679.47 and 7,823.34

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Solution

The fourth proportional to 11,366.28, 15,679.47 and 7,823.34 is: 10,792.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,366.28 : 15,679.47 = 7,823.34 : x
  2. Step 2: Convert to fraction form
    11,366.28/15,679.47 = 7,823.34/x
  3. Step 3: Cross multiply
    11,366.28x = 15,679.47 × 7,823.34
  4. Step 4: Simplify right side
    11,366.28x = 122,665,824.83
  5. Step 5: Solve for x
    x = 122,665,824.83/11,366.28
  6. Step 6: Final answer
    x = 10,792.08

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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.