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Finding the Fourth Proportional to 10,782.82, 14,880.48 and 6,002.52

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Solution

The fourth proportional to 10,782.82, 14,880.48 and 6,002.52 is: 8,283.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.82 : 14,880.48 = 6,002.52 : x
  2. Step 2: Convert to fraction form
    10,782.82/14,880.48 = 6,002.52/x
  3. Step 3: Cross multiply
    10,782.82x = 14,880.48 × 6,002.52
  4. Step 4: Simplify right side
    10,782.82x = 89,320,372.07
  5. Step 5: Solve for x
    x = 89,320,372.07/10,782.82
  6. Step 6: Final answer
    x = 8,283.58

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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.