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Finding the Fourth Proportional to 11,417.64, 17,136.18 and 4,497

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Solution

The fourth proportional to 11,417.64, 17,136.18 and 4,497 is: 6,749.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.64 : 17,136.18 = 4,497 : x
  2. Step 2: Convert to fraction form
    11,417.64/17,136.18 = 4,497/x
  3. Step 3: Cross multiply
    11,417.64x = 17,136.18 × 4,497
  4. Step 4: Simplify right side
    11,417.64x = 77,061,401.46
  5. Step 5: Solve for x
    x = 77,061,401.46/11,417.64
  6. Step 6: Final answer
    x = 6,749.33

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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.