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Finding the Fourth Proportional to 10,136.01, 13,987.38 and 5,659.74

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Solution

The fourth proportional to 10,136.01, 13,987.38 and 5,659.74 is: 7,810.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,136.01 : 13,987.38 = 5,659.74 : x
  2. Step 2: Convert to fraction form
    10,136.01/13,987.38 = 5,659.74/x
  3. Step 3: Cross multiply
    10,136.01x = 13,987.38 × 5,659.74
  4. Step 4: Simplify right side
    10,136.01x = 79,164,934.08
  5. Step 5: Solve for x
    x = 79,164,934.08/10,136.01
  6. Step 6: Final answer
    x = 7,810.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.