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Finding the Fourth Proportional to 10,727.38, 14,793.12 and 6,533.02

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Solution

The fourth proportional to 10,727.38, 14,793.12 and 6,533.02 is: 9,009.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,727.38 : 14,793.12 = 6,533.02 : x
  2. Step 2: Convert to fraction form
    10,727.38/14,793.12 = 6,533.02/x
  3. Step 3: Cross multiply
    10,727.38x = 14,793.12 × 6,533.02
  4. Step 4: Simplify right side
    10,727.38x = 96,643,748.82
  5. Step 5: Solve for x
    x = 96,643,748.82/10,727.38
  6. Step 6: Final answer
    x = 9,009.07

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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.