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Finding the Fourth Proportional to 10,720.44, 14,797.62 and 6,532.20

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Solution

The fourth proportional to 10,720.44, 14,797.62 and 6,532.20 is: 9,016.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,720.44 : 14,797.62 = 6,532.20 : x
  2. Step 2: Convert to fraction form
    10,720.44/14,797.62 = 6,532.20/x
  3. Step 3: Cross multiply
    10,720.44x = 14,797.62 × 6,532.20
  4. Step 4: Simplify right side
    10,720.44x = 96,661,013.36
  5. Step 5: Solve for x
    x = 96,661,013.36/10,720.44
  6. Step 6: Final answer
    x = 9,016.52

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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.