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Finding the Fourth Proportional to 8,320.14, 11,481.75 and 4,784.46

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Solution

The fourth proportional to 8,320.14, 11,481.75 and 4,784.46 is: 6,602.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,320.14 : 11,481.75 = 4,784.46 : x
  2. Step 2: Convert to fraction form
    8,320.14/11,481.75 = 4,784.46/x
  3. Step 3: Cross multiply
    8,320.14x = 11,481.75 × 4,784.46
  4. Step 4: Simplify right side
    8,320.14x = 54,933,973.61
  5. Step 5: Solve for x
    x = 54,933,973.61/8,320.14
  6. Step 6: Final answer
    x = 6,602.53

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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.