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Finding the Fourth Proportional to 7,383.64, 10,178.58 and 5,284.12

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Solution

The fourth proportional to 7,383.64, 10,178.58 and 5,284.12 is: 7,284.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,383.64 : 10,178.58 = 5,284.12 : x
  2. Step 2: Convert to fraction form
    7,383.64/10,178.58 = 5,284.12/x
  3. Step 3: Cross multiply
    7,383.64x = 10,178.58 × 5,284.12
  4. Step 4: Simplify right side
    7,383.64x = 53,784,838.15
  5. Step 5: Solve for x
    x = 53,784,838.15/7,383.64
  6. Step 6: Final answer
    x = 7,284.33

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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.