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Finding the Fourth Proportional to 8,141.14, 11,234.59 and 4,784.28

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Solution

The fourth proportional to 8,141.14, 11,234.59 and 4,784.28 is: 6,602.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.14 : 11,234.59 = 4,784.28 : x
  2. Step 2: Convert to fraction form
    8,141.14/11,234.59 = 4,784.28/x
  3. Step 3: Cross multiply
    8,141.14x = 11,234.59 × 4,784.28
  4. Step 4: Simplify right side
    8,141.14x = 53,749,424.25
  5. Step 5: Solve for x
    x = 53,749,424.25/8,141.14
  6. Step 6: Final answer
    x = 6,602.20

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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.