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Finding the Fourth Proportional to 10,784.73, 14,882.80 and 6,004.69

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Solution

The fourth proportional to 10,784.73, 14,882.80 and 6,004.69 is: 8,286.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784.73 : 14,882.80 = 6,004.69 : x
  2. Step 2: Convert to fraction form
    10,784.73/14,882.80 = 6,004.69/x
  3. Step 3: Cross multiply
    10,784.73x = 14,882.80 × 6,004.69
  4. Step 4: Simplify right side
    10,784.73x = 89,366,600.33
  5. Step 5: Solve for x
    x = 89,366,600.33/10,784.73
  6. Step 6: Final answer
    x = 8,286.40

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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.