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Finding the Fourth Proportional to 10,782.73, 14,880.05 and 6,002.59

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Solution

The fourth proportional to 10,782.73, 14,880.05 and 6,002.59 is: 8,283.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.73 : 14,880.05 = 6,002.59 : x
  2. Step 2: Convert to fraction form
    10,782.73/14,880.05 = 6,002.59/x
  3. Step 3: Cross multiply
    10,782.73x = 14,880.05 × 6,002.59
  4. Step 4: Simplify right side
    10,782.73x = 89,318,734.92
  5. Step 5: Solve for x
    x = 89,318,734.92/10,782.73
  6. Step 6: Final answer
    x = 8,283.50

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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.