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Finding the Fourth Proportional to 10,652.51, 14,700.47 and 5,936.78

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Solution

The fourth proportional to 10,652.51, 14,700.47 and 5,936.78 is: 8,192.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.51 : 14,700.47 = 5,936.78 : x
  2. Step 2: Convert to fraction form
    10,652.51/14,700.47 = 5,936.78/x
  3. Step 3: Cross multiply
    10,652.51x = 14,700.47 × 5,936.78
  4. Step 4: Simplify right side
    10,652.51x = 87,273,353.10
  5. Step 5: Solve for x
    x = 87,273,353.10/10,652.51
  6. Step 6: Final answer
    x = 8,192.75

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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.