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Finding the Fourth Proportional to 10,467.89, 15,703.28 and 3,071.31

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Solution

The fourth proportional to 10,467.89, 15,703.28 and 3,071.31 is: 4,607.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467.89 : 15,703.28 = 3,071.31 : x
  2. Step 2: Convert to fraction form
    10,467.89/15,703.28 = 3,071.31/x
  3. Step 3: Cross multiply
    10,467.89x = 15,703.28 × 3,071.31
  4. Step 4: Simplify right side
    10,467.89x = 48,229,640.90
  5. Step 5: Solve for x
    x = 48,229,640.90/10,467.89
  6. Step 6: Final answer
    x = 4,607.39

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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.