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Finding the Fourth Proportional to 11,162.32, 15,403.72 and 6,194

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Solution

The fourth proportional to 11,162.32, 15,403.72 and 6,194 is: 8,547.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,162.32 : 15,403.72 = 6,194 : x
  2. Step 2: Convert to fraction form
    11,162.32/15,403.72 = 6,194/x
  3. Step 3: Cross multiply
    11,162.32x = 15,403.72 × 6,194
  4. Step 4: Simplify right side
    11,162.32x = 95,410,641.68
  5. Step 5: Solve for x
    x = 95,410,641.68/11,162.32
  6. Step 6: Final answer
    x = 8,547.56

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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.