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Finding the Fourth Proportional to 11,530.64, 17,294.13 and 3,737.63

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Solution

The fourth proportional to 11,530.64, 17,294.13 and 3,737.63 is: 5,605.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,530.64 : 17,294.13 = 3,737.63 : x
  2. Step 2: Convert to fraction form
    11,530.64/17,294.13 = 3,737.63/x
  3. Step 3: Cross multiply
    11,530.64x = 17,294.13 × 3,737.63
  4. Step 4: Simplify right side
    11,530.64x = 64,638,972.64
  5. Step 5: Solve for x
    x = 64,638,972.64/11,530.64
  6. Step 6: Final answer
    x = 5,605.85

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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.