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Finding the Fourth Proportional to 10,886.72, 15,032.15 and 8,364.83

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Solution

The fourth proportional to 10,886.72, 15,032.15 and 8,364.83 is: 11,549.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,886.72 : 15,032.15 = 8,364.83 : x
  2. Step 2: Convert to fraction form
    10,886.72/15,032.15 = 8,364.83/x
  3. Step 3: Cross multiply
    10,886.72x = 15,032.15 × 8,364.83
  4. Step 4: Simplify right side
    10,886.72x = 125,741,379.28
  5. Step 5: Solve for x
    x = 125,741,379.28/10,886.72
  6. Step 6: Final answer
    x = 11,549.98

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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.