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Finding the Fourth Proportional to 7,832.52, 10,798.41 and 6,222.77

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Solution

The fourth proportional to 7,832.52, 10,798.41 and 6,222.77 is: 8,579.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.52 : 10,798.41 = 6,222.77 : x
  2. Step 2: Convert to fraction form
    7,832.52/10,798.41 = 6,222.77/x
  3. Step 3: Cross multiply
    7,832.52x = 10,798.41 × 6,222.77
  4. Step 4: Simplify right side
    7,832.52x = 67,195,967.80
  5. Step 5: Solve for x
    x = 67,195,967.80/7,832.52
  6. Step 6: Final answer
    x = 8,579.10

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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.