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Finding the Fourth Proportional to 11,178.64, 15,426.66 and 6,463

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Solution

The fourth proportional to 11,178.64, 15,426.66 and 6,463 is: 8,919.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,178.64 : 15,426.66 = 6,463 : x
  2. Step 2: Convert to fraction form
    11,178.64/15,426.66 = 6,463/x
  3. Step 3: Cross multiply
    11,178.64x = 15,426.66 × 6,463
  4. Step 4: Simplify right side
    11,178.64x = 99,702,503.58
  5. Step 5: Solve for x
    x = 99,702,503.58/11,178.64
  6. Step 6: Final answer
    x = 8,919.02

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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.