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Finding the Fourth Proportional to 10,652.20, 14,700.18 and 5,936.32

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Solution

The fourth proportional to 10,652.20, 14,700.18 and 5,936.32 is: 8,192.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.20 : 14,700.18 = 5,936.32 : x
  2. Step 2: Convert to fraction form
    10,652.20/14,700.18 = 5,936.32/x
  3. Step 3: Cross multiply
    10,652.20x = 14,700.18 × 5,936.32
  4. Step 4: Simplify right side
    10,652.20x = 87,264,972.54
  5. Step 5: Solve for x
    x = 87,264,972.54/10,652.20
  6. Step 6: Final answer
    x = 8,192.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.