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Finding the Fourth Proportional to 7,719.84, 10,628.55 and 6,016.32

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Solution

The fourth proportional to 7,719.84, 10,628.55 and 6,016.32 is: 8,283.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,719.84 : 10,628.55 = 6,016.32 : x
  2. Step 2: Convert to fraction form
    7,719.84/10,628.55 = 6,016.32/x
  3. Step 3: Cross multiply
    7,719.84x = 10,628.55 × 6,016.32
  4. Step 4: Simplify right side
    7,719.84x = 63,944,757.94
  5. Step 5: Solve for x
    x = 63,944,757.94/7,719.84
  6. Step 6: Final answer
    x = 8,283.17

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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.