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Finding the Fourth Proportional to 11,509.98, 15,879.28 and 6,473.05

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Solution

The fourth proportional to 11,509.98, 15,879.28 and 6,473.05 is: 8,930.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.98 : 15,879.28 = 6,473.05 : x
  2. Step 2: Convert to fraction form
    11,509.98/15,879.28 = 6,473.05/x
  3. Step 3: Cross multiply
    11,509.98x = 15,879.28 × 6,473.05
  4. Step 4: Simplify right side
    11,509.98x = 102,787,320.56
  5. Step 5: Solve for x
    x = 102,787,320.56/11,509.98
  6. Step 6: Final answer
    x = 8,930.28

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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.