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Finding the Fourth Proportional to 11,648.36, 16,070.74 and 6,612.20

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Solution

The fourth proportional to 11,648.36, 16,070.74 and 6,612.20 is: 9,122.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.36 : 16,070.74 = 6,612.20 : x
  2. Step 2: Convert to fraction form
    11,648.36/16,070.74 = 6,612.20/x
  3. Step 3: Cross multiply
    11,648.36x = 16,070.74 × 6,612.20
  4. Step 4: Simplify right side
    11,648.36x = 106,262,947.03
  5. Step 5: Solve for x
    x = 106,262,947.03/11,648.36
  6. Step 6: Final answer
    x = 9,122.57

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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.