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Finding the Fourth Proportional to 10,633, 15,944.18 and 6,192.12

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Solution

The fourth proportional to 10,633, 15,944.18 and 6,192.12 is: 9,285.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,633 : 15,944.18 = 6,192.12 : x
  2. Step 2: Convert to fraction form
    10,633/15,944.18 = 6,192.12/x
  3. Step 3: Cross multiply
    10,633x = 15,944.18 × 6,192.12
  4. Step 4: Simplify right side
    10,633x = 98,728,275.86
  5. Step 5: Solve for x
    x = 98,728,275.86/10,633
  6. Step 6: Final answer
    x = 9,285.08

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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.