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Finding the Fourth Proportional to 7,993.40, 11,031 and 4,636.40

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Solution

The fourth proportional to 7,993.40, 11,031 and 4,636.40 is: 6,398.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,993.40 : 11,031 = 4,636.40 : x
  2. Step 2: Convert to fraction form
    7,993.40/11,031 = 4,636.40/x
  3. Step 3: Cross multiply
    7,993.40x = 11,031 × 4,636.40
  4. Step 4: Simplify right side
    7,993.40x = 51,144,128.40
  5. Step 5: Solve for x
    x = 51,144,128.40/7,993.40
  6. Step 6: Final answer
    x = 6,398.29

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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.