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Finding the Fourth Proportional to 10,863.58, 14,992.30 and 6,147.76

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Solution

The fourth proportional to 10,863.58, 14,992.30 and 6,147.76 is: 8,484.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,863.58 : 14,992.30 = 6,147.76 : x
  2. Step 2: Convert to fraction form
    10,863.58/14,992.30 = 6,147.76/x
  3. Step 3: Cross multiply
    10,863.58x = 14,992.30 × 6,147.76
  4. Step 4: Simplify right side
    10,863.58x = 92,169,062.25
  5. Step 5: Solve for x
    x = 92,169,062.25/10,863.58
  6. Step 6: Final answer
    x = 8,484.23

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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.