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Finding the Fourth Proportional to 8,000.40, 11,037.14 and 5,014.20

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Solution

The fourth proportional to 8,000.40, 11,037.14 and 5,014.20 is: 6,917.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.40 : 11,037.14 = 5,014.20 : x
  2. Step 2: Convert to fraction form
    8,000.40/11,037.14 = 5,014.20/x
  3. Step 3: Cross multiply
    8,000.40x = 11,037.14 × 5,014.20
  4. Step 4: Simplify right side
    8,000.40x = 55,342,427.39
  5. Step 5: Solve for x
    x = 55,342,427.39/8,000.40
  6. Step 6: Final answer
    x = 6,917.46

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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.