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Finding the Fourth Proportional to 7,486.48, 11,170.02 and 6,378.40

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Solution

The fourth proportional to 7,486.48, 11,170.02 and 6,378.40 is: 9,516.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486.48 : 11,170.02 = 6,378.40 : x
  2. Step 2: Convert to fraction form
    7,486.48/11,170.02 = 6,378.40/x
  3. Step 3: Cross multiply
    7,486.48x = 11,170.02 × 6,378.40
  4. Step 4: Simplify right side
    7,486.48x = 71,246,855.57
  5. Step 5: Solve for x
    x = 71,246,855.57/7,486.48
  6. Step 6: Final answer
    x = 9,516.74

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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.