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Finding the Fourth Proportional to 10,724.01, 14,798.88 and 6,009.27

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Solution

The fourth proportional to 10,724.01, 14,798.88 and 6,009.27 is: 8,292.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,724.01 : 14,798.88 = 6,009.27 : x
  2. Step 2: Convert to fraction form
    10,724.01/14,798.88 = 6,009.27/x
  3. Step 3: Cross multiply
    10,724.01x = 14,798.88 × 6,009.27
  4. Step 4: Simplify right side
    10,724.01x = 88,930,465.62
  5. Step 5: Solve for x
    x = 88,930,465.62/10,724.01
  6. Step 6: Final answer
    x = 8,292.65

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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.