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Finding the Fourth Proportional to 10,725.12, 14,800.62 and 6,009.42

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Solution

The fourth proportional to 10,725.12, 14,800.62 and 6,009.42 is: 8,292.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725.12 : 14,800.62 = 6,009.42 : x
  2. Step 2: Convert to fraction form
    10,725.12/14,800.62 = 6,009.42/x
  3. Step 3: Cross multiply
    10,725.12x = 14,800.62 × 6,009.42
  4. Step 4: Simplify right side
    10,725.12x = 88,943,141.84
  5. Step 5: Solve for x
    x = 88,943,141.84/10,725.12
  6. Step 6: Final answer
    x = 8,292.97

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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.