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Finding the Fourth Proportional to 7,648.12, 10,560.63 and 6,232.02

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Solution

The fourth proportional to 7,648.12, 10,560.63 and 6,232.02 is: 8,605.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.12 : 10,560.63 = 6,232.02 : x
  2. Step 2: Convert to fraction form
    7,648.12/10,560.63 = 6,232.02/x
  3. Step 3: Cross multiply
    7,648.12x = 10,560.63 × 6,232.02
  4. Step 4: Simplify right side
    7,648.12x = 65,814,057.37
  5. Step 5: Solve for x
    x = 65,814,057.37/7,648.12
  6. Step 6: Final answer
    x = 8,605.26

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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.