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Finding the Fourth Proportional to 7,637, 11,454.14 and 3,476.04

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Solution

The fourth proportional to 7,637, 11,454.14 and 3,476.04 is: 5,213.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,637 : 11,454.14 = 3,476.04 : x
  2. Step 2: Convert to fraction form
    7,637/11,454.14 = 3,476.04/x
  3. Step 3: Cross multiply
    7,637x = 11,454.14 × 3,476.04
  4. Step 4: Simplify right side
    7,637x = 39,815,048.81
  5. Step 5: Solve for x
    x = 39,815,048.81/7,637
  6. Step 6: Final answer
    x = 5,213.44

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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.