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Finding the Fourth Proportional to 7,389.50, 11,084.86 and 5,319.14

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Solution

The fourth proportional to 7,389.50, 11,084.86 and 5,319.14 is: 7,979.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,389.50 : 11,084.86 = 5,319.14 : x
  2. Step 2: Convert to fraction form
    7,389.50/11,084.86 = 5,319.14/x
  3. Step 3: Cross multiply
    7,389.50x = 11,084.86 × 5,319.14
  4. Step 4: Simplify right side
    7,389.50x = 58,961,922.22
  5. Step 5: Solve for x
    x = 58,961,922.22/7,389.50
  6. Step 6: Final answer
    x = 7,979.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.