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Finding the Fourth Proportional to 8,049.18, 11,110.60 and 5,070

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Solution

The fourth proportional to 8,049.18, 11,110.60 and 5,070 is: 6,998.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.18 : 11,110.60 = 5,070 : x
  2. Step 2: Convert to fraction form
    8,049.18/11,110.60 = 5,070/x
  3. Step 3: Cross multiply
    8,049.18x = 11,110.60 × 5,070
  4. Step 4: Simplify right side
    8,049.18x = 56,330,742
  5. Step 5: Solve for x
    x = 56,330,742/8,049.18
  6. Step 6: Final answer
    x = 6,998.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.