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Finding the Fourth Proportional to 8,003.70, 11,045.32 and 4,467.60

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Solution

The fourth proportional to 8,003.70, 11,045.32 and 4,467.60 is: 6,165.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.70 : 11,045.32 = 4,467.60 : x
  2. Step 2: Convert to fraction form
    8,003.70/11,045.32 = 4,467.60/x
  3. Step 3: Cross multiply
    8,003.70x = 11,045.32 × 4,467.60
  4. Step 4: Simplify right side
    8,003.70x = 49,346,071.63
  5. Step 5: Solve for x
    x = 49,346,071.63/8,003.70
  6. Step 6: Final answer
    x = 6,165.41

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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.