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Finding the Fourth Proportional to 10,784.87, 14,883.12 and 6,004.71

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Solution

The fourth proportional to 10,784.87, 14,883.12 and 6,004.71 is: 8,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784.87 : 14,883.12 = 6,004.71 : x
  2. Step 2: Convert to fraction form
    10,784.87/14,883.12 = 6,004.71/x
  3. Step 3: Cross multiply
    10,784.87x = 14,883.12 × 6,004.71
  4. Step 4: Simplify right side
    10,784.87x = 89,368,819.50
  5. Step 5: Solve for x
    x = 89,368,819.50/10,784.87
  6. Step 6: Final answer
    x = 8,286.50

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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.