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Finding the Fourth Proportional to 23,760.01, 35,646.09 and 7,120

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Solution

The fourth proportional to 23,760.01, 35,646.09 and 7,120 is: 10,681.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,760.01 : 35,646.09 = 7,120 : x
  2. Step 2: Convert to fraction form
    23,760.01/35,646.09 = 7,120/x
  3. Step 3: Cross multiply
    23,760.01x = 35,646.09 × 7,120
  4. Step 4: Simplify right side
    23,760.01x = 253,800,160.80
  5. Step 5: Solve for x
    x = 253,800,160.80/23,760.01
  6. Step 6: Final answer
    x = 10,681.82

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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.