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Finding the Fourth Proportional to 11,314.01, 15,613.76 and 6,836.91

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Solution

The fourth proportional to 11,314.01, 15,613.76 and 6,836.91 is: 9,435.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.01 : 15,613.76 = 6,836.91 : x
  2. Step 2: Convert to fraction form
    11,314.01/15,613.76 = 6,836.91/x
  3. Step 3: Cross multiply
    11,314.01x = 15,613.76 × 6,836.91
  4. Step 4: Simplify right side
    11,314.01x = 106,749,871.88
  5. Step 5: Solve for x
    x = 106,749,871.88/11,314.01
  6. Step 6: Final answer
    x = 9,435.19

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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.