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Finding the Fourth Proportional to 11,901.16, 17,852.61 and 3,136

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Solution

The fourth proportional to 11,901.16, 17,852.61 and 3,136 is: 4,704.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,901.16 : 17,852.61 = 3,136 : x
  2. Step 2: Convert to fraction form
    11,901.16/17,852.61 = 3,136/x
  3. Step 3: Cross multiply
    11,901.16x = 17,852.61 × 3,136
  4. Step 4: Simplify right side
    11,901.16x = 55,985,784.96
  5. Step 5: Solve for x
    x = 55,985,784.96/11,901.16
  6. Step 6: Final answer
    x = 4,704.23

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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.