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Finding the Fourth Proportional to 10,782.77, 14,880.24 and 6,002.66

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Solution

The fourth proportional to 10,782.77, 14,880.24 and 6,002.66 is: 8,283.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.77 : 14,880.24 = 6,002.66 : x
  2. Step 2: Convert to fraction form
    10,782.77/14,880.24 = 6,002.66/x
  3. Step 3: Cross multiply
    10,782.77x = 14,880.24 × 6,002.66
  4. Step 4: Simplify right side
    10,782.77x = 89,321,058.64
  5. Step 5: Solve for x
    x = 89,321,058.64/10,782.77
  6. Step 6: Final answer
    x = 8,283.69

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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.