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Finding the Fourth Proportional to 6,880.84, 9,488.58 and 5,889.40

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Solution

The fourth proportional to 6,880.84, 9,488.58 and 5,889.40 is: 8,121.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880.84 : 9,488.58 = 5,889.40 : x
  2. Step 2: Convert to fraction form
    6,880.84/9,488.58 = 5,889.40/x
  3. Step 3: Cross multiply
    6,880.84x = 9,488.58 × 5,889.40
  4. Step 4: Simplify right side
    6,880.84x = 55,882,043.05
  5. Step 5: Solve for x
    x = 55,882,043.05/6,880.84
  6. Step 6: Final answer
    x = 8,121.40

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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.