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Finding the Fourth Proportional to 7,606.56, 11,411.04 and 2,411.28

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Solution

The fourth proportional to 7,606.56, 11,411.04 and 2,411.28 is: 3,617.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,606.56 : 11,411.04 = 2,411.28 : x
  2. Step 2: Convert to fraction form
    7,606.56/11,411.04 = 2,411.28/x
  3. Step 3: Cross multiply
    7,606.56x = 11,411.04 × 2,411.28
  4. Step 4: Simplify right side
    7,606.56x = 27,515,212.53
  5. Step 5: Solve for x
    x = 27,515,212.53/7,606.56
  6. Step 6: Final answer
    x = 3,617.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.