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Finding the Fourth Proportional to 11,840.96, 16,340.46 and 6,535.46

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Solution

The fourth proportional to 11,840.96, 16,340.46 and 6,535.46 is: 9,018.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.96 : 16,340.46 = 6,535.46 : x
  2. Step 2: Convert to fraction form
    11,840.96/16,340.46 = 6,535.46/x
  3. Step 3: Cross multiply
    11,840.96x = 16,340.46 × 6,535.46
  4. Step 4: Simplify right side
    11,840.96x = 106,792,422.71
  5. Step 5: Solve for x
    x = 106,792,422.71/11,840.96
  6. Step 6: Final answer
    x = 9,018.90

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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.