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Finding the Fourth Proportional to 7,099.16, 9,792.42 and 5,078.84

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Solution

The fourth proportional to 7,099.16, 9,792.42 and 5,078.84 is: 7,005.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.16 : 9,792.42 = 5,078.84 : x
  2. Step 2: Convert to fraction form
    7,099.16/9,792.42 = 5,078.84/x
  3. Step 3: Cross multiply
    7,099.16x = 9,792.42 × 5,078.84
  4. Step 4: Simplify right side
    7,099.16x = 49,734,134.39
  5. Step 5: Solve for x
    x = 49,734,134.39/7,099.16
  6. Step 6: Final answer
    x = 7,005.64

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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.