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Finding the Fourth Proportional to 10,669.60, 16,009.20 and 4,823.20

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Solution

The fourth proportional to 10,669.60, 16,009.20 and 4,823.20 is: 7,236.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,669.60 : 16,009.20 = 4,823.20 : x
  2. Step 2: Convert to fraction form
    10,669.60/16,009.20 = 4,823.20/x
  3. Step 3: Cross multiply
    10,669.60x = 16,009.20 × 4,823.20
  4. Step 4: Simplify right side
    10,669.60x = 77,215,573.44
  5. Step 5: Solve for x
    x = 77,215,573.44/10,669.60
  6. Step 6: Final answer
    x = 7,236.97

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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.