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Finding the Fourth Proportional to 6,523.12, 9,782.52 and 3,602.80

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Solution

The fourth proportional to 6,523.12, 9,782.52 and 3,602.80 is: 5,403.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.12 : 9,782.52 = 3,602.80 : x
  2. Step 2: Convert to fraction form
    6,523.12/9,782.52 = 3,602.80/x
  3. Step 3: Cross multiply
    6,523.12x = 9,782.52 × 3,602.80
  4. Step 4: Simplify right side
    6,523.12x = 35,244,463.06
  5. Step 5: Solve for x
    x = 35,244,463.06/6,523.12
  6. Step 6: Final answer
    x = 5,403.01

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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.