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Finding the Fourth Proportional to 11,226.42, 15,490.71 and 6,509.79

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Solution

The fourth proportional to 11,226.42, 15,490.71 and 6,509.79 is: 8,982.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,226.42 : 15,490.71 = 6,509.79 : x
  2. Step 2: Convert to fraction form
    11,226.42/15,490.71 = 6,509.79/x
  3. Step 3: Cross multiply
    11,226.42x = 15,490.71 × 6,509.79
  4. Step 4: Simplify right side
    11,226.42x = 100,841,269.05
  5. Step 5: Solve for x
    x = 100,841,269.05/11,226.42
  6. Step 6: Final answer
    x = 8,982.50

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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.