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Finding the Fourth Proportional to 11,341.05, 15,646.50 and 6,863.16

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Solution

The fourth proportional to 11,341.05, 15,646.50 and 6,863.16 is: 9,468.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,341.05 : 15,646.50 = 6,863.16 : x
  2. Step 2: Convert to fraction form
    11,341.05/15,646.50 = 6,863.16/x
  3. Step 3: Cross multiply
    11,341.05x = 15,646.50 × 6,863.16
  4. Step 4: Simplify right side
    11,341.05x = 107,384,432.94
  5. Step 5: Solve for x
    x = 107,384,432.94/11,341.05
  6. Step 6: Final answer
    x = 9,468.65

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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.