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Finding the Fourth Proportional to 10,689.32, 16,036.74 and 4,447.32

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Solution

The fourth proportional to 10,689.32, 16,036.74 and 4,447.32 is: 6,672.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.32 : 16,036.74 = 4,447.32 : x
  2. Step 2: Convert to fraction form
    10,689.32/16,036.74 = 4,447.32/x
  3. Step 3: Cross multiply
    10,689.32x = 16,036.74 × 4,447.32
  4. Step 4: Simplify right side
    10,689.32x = 71,320,514.54
  5. Step 5: Solve for x
    x = 71,320,514.54/10,689.32
  6. Step 6: Final answer
    x = 6,672.13

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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.