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Finding the Fourth Proportional to 7,984.16, 11,022.72 and 5,340.32

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Solution

The fourth proportional to 7,984.16, 11,022.72 and 5,340.32 is: 7,372.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984.16 : 11,022.72 = 5,340.32 : x
  2. Step 2: Convert to fraction form
    7,984.16/11,022.72 = 5,340.32/x
  3. Step 3: Cross multiply
    7,984.16x = 11,022.72 × 5,340.32
  4. Step 4: Simplify right side
    7,984.16x = 58,864,852.07
  5. Step 5: Solve for x
    x = 58,864,852.07/7,984.16
  6. Step 6: Final answer
    x = 7,372.70

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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.