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Finding the Fourth Proportional to 10,886.73, 15,032.16 and 8,364.84

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Solution

The fourth proportional to 10,886.73, 15,032.16 and 8,364.84 is: 11,549.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,886.73 : 15,032.16 = 8,364.84 : x
  2. Step 2: Convert to fraction form
    10,886.73/15,032.16 = 8,364.84/x
  3. Step 3: Cross multiply
    10,886.73x = 15,032.16 × 8,364.84
  4. Step 4: Simplify right side
    10,886.73x = 125,741,613.25
  5. Step 5: Solve for x
    x = 125,741,613.25/10,886.73
  6. Step 6: Final answer
    x = 11,549.99

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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.