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Finding the Fourth Proportional to 7,986.16, 11,024.48 and 5,719.28

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Solution

The fourth proportional to 7,986.16, 11,024.48 and 5,719.28 is: 7,895.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,986.16 : 11,024.48 = 5,719.28 : x
  2. Step 2: Convert to fraction form
    7,986.16/11,024.48 = 5,719.28/x
  3. Step 3: Cross multiply
    7,986.16x = 11,024.48 × 5,719.28
  4. Step 4: Simplify right side
    7,986.16x = 63,052,087.97
  5. Step 5: Solve for x
    x = 63,052,087.97/7,986.16
  6. Step 6: Final answer
    x = 7,895.17

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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.