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Finding the Fourth Proportional to 11,722.84, 17,590.74 and 6,531.64

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Solution

The fourth proportional to 11,722.84, 17,590.74 and 6,531.64 is: 9,801.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,722.84 : 17,590.74 = 6,531.64 : x
  2. Step 2: Convert to fraction form
    11,722.84/17,590.74 = 6,531.64/x
  3. Step 3: Cross multiply
    11,722.84x = 17,590.74 × 6,531.64
  4. Step 4: Simplify right side
    11,722.84x = 114,896,381.01
  5. Step 5: Solve for x
    x = 114,896,381.01/11,722.84
  6. Step 6: Final answer
    x = 9,801.07

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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.