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Finding the Fourth Proportional to 10,894.32, 15,031.83 and 6,416.43

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Solution

The fourth proportional to 10,894.32, 15,031.83 and 6,416.43 is: 8,853.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.32 : 15,031.83 = 6,416.43 : x
  2. Step 2: Convert to fraction form
    10,894.32/15,031.83 = 6,416.43/x
  3. Step 3: Cross multiply
    10,894.32x = 15,031.83 × 6,416.43
  4. Step 4: Simplify right side
    10,894.32x = 96,450,684.97
  5. Step 5: Solve for x
    x = 96,450,684.97/10,894.32
  6. Step 6: Final answer
    x = 8,853.30

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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.