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Finding the Fourth Proportional to 11,509.32, 15,883.34 and 6,473.78

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Solution

The fourth proportional to 11,509.32, 15,883.34 and 6,473.78 is: 8,934.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.32 : 15,883.34 = 6,473.78 : x
  2. Step 2: Convert to fraction form
    11,509.32/15,883.34 = 6,473.78/x
  3. Step 3: Cross multiply
    11,509.32x = 15,883.34 × 6,473.78
  4. Step 4: Simplify right side
    11,509.32x = 102,825,137.04
  5. Step 5: Solve for x
    x = 102,825,137.04/11,509.32
  6. Step 6: Final answer
    x = 8,934.08

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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.