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Finding the Fourth Proportional to 11,494.08, 15,845.76 and 9,718.56

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Solution

The fourth proportional to 11,494.08, 15,845.76 and 9,718.56 is: 13,398.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.08 : 15,845.76 = 9,718.56 : x
  2. Step 2: Convert to fraction form
    11,494.08/15,845.76 = 9,718.56/x
  3. Step 3: Cross multiply
    11,494.08x = 15,845.76 × 9,718.56
  4. Step 4: Simplify right side
    11,494.08x = 153,997,969.31
  5. Step 5: Solve for x
    x = 153,997,969.31/11,494.08
  6. Step 6: Final answer
    x = 13,398.02

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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.