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Finding the Fourth Proportional to 11,871.01, 17,806.65 and 11,510.02

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Solution

The fourth proportional to 11,871.01, 17,806.65 and 11,510.02 is: 17,265.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.01 : 17,806.65 = 11,510.02 : x
  2. Step 2: Convert to fraction form
    11,871.01/17,806.65 = 11,510.02/x
  3. Step 3: Cross multiply
    11,871.01x = 17,806.65 × 11,510.02
  4. Step 4: Simplify right side
    11,871.01x = 204,954,897.63
  5. Step 5: Solve for x
    x = 204,954,897.63/11,871.01
  6. Step 6: Final answer
    x = 17,265.16

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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.