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Finding the Fourth Proportional to 7,385.92, 11,078.88 and 5,848

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Solution

The fourth proportional to 7,385.92, 11,078.88 and 5,848 is: 8,772

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,385.92 : 11,078.88 = 5,848 : x
  2. Step 2: Convert to fraction form
    7,385.92/11,078.88 = 5,848/x
  3. Step 3: Cross multiply
    7,385.92x = 11,078.88 × 5,848
  4. Step 4: Simplify right side
    7,385.92x = 64,789,290.24
  5. Step 5: Solve for x
    x = 64,789,290.24/7,385.92
  6. Step 6: Final answer
    x = 8,772

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