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Finding the Fourth Proportional to 6,706.20, 10,019.60 and 6,476.52

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Solution

The fourth proportional to 6,706.20, 10,019.60 and 6,476.52 is: 9,676.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.20 : 10,019.60 = 6,476.52 : x
  2. Step 2: Convert to fraction form
    6,706.20/10,019.60 = 6,476.52/x
  3. Step 3: Cross multiply
    6,706.20x = 10,019.60 × 6,476.52
  4. Step 4: Simplify right side
    6,706.20x = 64,892,139.79
  5. Step 5: Solve for x
    x = 64,892,139.79/6,706.20
  6. Step 6: Final answer
    x = 9,676.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.