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Finding the Fourth Proportional to 10,467.32, 15,703.29 and 3,449.48

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Solution

The fourth proportional to 10,467.32, 15,703.29 and 3,449.48 is: 5,174.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467.32 : 15,703.29 = 3,449.48 : x
  2. Step 2: Convert to fraction form
    10,467.32/15,703.29 = 3,449.48/x
  3. Step 3: Cross multiply
    10,467.32x = 15,703.29 × 3,449.48
  4. Step 4: Simplify right side
    10,467.32x = 54,168,184.79
  5. Step 5: Solve for x
    x = 54,168,184.79/10,467.32
  6. Step 6: Final answer
    x = 5,174.98

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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.