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Finding the Fourth Proportional to 11,311.56, 16,967.28 and 4,386

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Solution

The fourth proportional to 11,311.56, 16,967.28 and 4,386 is: 6,578.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,311.56 : 16,967.28 = 4,386 : x
  2. Step 2: Convert to fraction form
    11,311.56/16,967.28 = 4,386/x
  3. Step 3: Cross multiply
    11,311.56x = 16,967.28 × 4,386
  4. Step 4: Simplify right side
    11,311.56x = 74,418,490.08
  5. Step 5: Solve for x
    x = 74,418,490.08/11,311.56
  6. Step 6: Final answer
    x = 6,578.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.