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Finding the Fourth Proportional to 11,148.84, 16,708.59 and 6,220.80

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Solution

The fourth proportional to 11,148.84, 16,708.59 and 6,220.80 is: 9,323.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,148.84 : 16,708.59 = 6,220.80 : x
  2. Step 2: Convert to fraction form
    11,148.84/16,708.59 = 6,220.80/x
  3. Step 3: Cross multiply
    11,148.84x = 16,708.59 × 6,220.80
  4. Step 4: Simplify right side
    11,148.84x = 103,940,796.67
  5. Step 5: Solve for x
    x = 103,940,796.67/11,148.84
  6. Step 6: Final answer
    x = 9,323.01

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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.