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Finding the Fourth Proportional to 10,994.96, 16,496.04 and 4,070

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Solution

The fourth proportional to 10,994.96, 16,496.04 and 4,070 is: 6,106.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,994.96 : 16,496.04 = 4,070 : x
  2. Step 2: Convert to fraction form
    10,994.96/16,496.04 = 4,070/x
  3. Step 3: Cross multiply
    10,994.96x = 16,496.04 × 4,070
  4. Step 4: Simplify right side
    10,994.96x = 67,138,882.80
  5. Step 5: Solve for x
    x = 67,138,882.80/10,994.96
  6. Step 6: Final answer
    x = 6,106.33

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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.