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Finding the Fourth Proportional to 10,117.04, 15,174.96 and 3,191

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Solution

The fourth proportional to 10,117.04, 15,174.96 and 3,191 is: 4,786.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,117.04 : 15,174.96 = 3,191 : x
  2. Step 2: Convert to fraction form
    10,117.04/15,174.96 = 3,191/x
  3. Step 3: Cross multiply
    10,117.04x = 15,174.96 × 3,191
  4. Step 4: Simplify right side
    10,117.04x = 48,423,297.36
  5. Step 5: Solve for x
    x = 48,423,297.36/10,117.04
  6. Step 6: Final answer
    x = 4,786.31

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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.