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Finding the Fourth Proportional to 10,724.64, 14,799.96 and 6,009

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Solution

The fourth proportional to 10,724.64, 14,799.96 and 6,009 is: 8,292.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,724.64 : 14,799.96 = 6,009 : x
  2. Step 2: Convert to fraction form
    10,724.64/14,799.96 = 6,009/x
  3. Step 3: Cross multiply
    10,724.64x = 14,799.96 × 6,009
  4. Step 4: Simplify right side
    10,724.64x = 88,932,959.64
  5. Step 5: Solve for x
    x = 88,932,959.64/10,724.64
  6. Step 6: Final answer
    x = 8,292.40

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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.