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Finding the Fourth Proportional to 7,865.38, 11,802.16 and 3,188.85

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Solution

The fourth proportional to 7,865.38, 11,802.16 and 3,188.85 is: 4,784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.38 : 11,802.16 = 3,188.85 : x
  2. Step 2: Convert to fraction form
    7,865.38/11,802.16 = 3,188.85/x
  3. Step 3: Cross multiply
    7,865.38x = 11,802.16 × 3,188.85
  4. Step 4: Simplify right side
    7,865.38x = 37,635,277.64
  5. Step 5: Solve for x
    x = 37,635,277.64/7,865.38
  6. Step 6: Final answer
    x = 4,784.93

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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.