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Finding the Fourth Proportional to 10,652.40, 14,700.60 and 5,936.40

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Solution

The fourth proportional to 10,652.40, 14,700.60 and 5,936.40 is: 8,192.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.40 : 14,700.60 = 5,936.40 : x
  2. Step 2: Convert to fraction form
    10,652.40/14,700.60 = 5,936.40/x
  3. Step 3: Cross multiply
    10,652.40x = 14,700.60 × 5,936.40
  4. Step 4: Simplify right side
    10,652.40x = 87,268,641.84
  5. Step 5: Solve for x
    x = 87,268,641.84/10,652.40
  6. Step 6: Final answer
    x = 8,192.39

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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.