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Finding the Fourth Proportional to 10,782.29, 14,880.21 and 6,066.92

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Solution

The fourth proportional to 10,782.29, 14,880.21 and 6,066.92 is: 8,372.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.29 : 14,880.21 = 6,066.92 : x
  2. Step 2: Convert to fraction form
    10,782.29/14,880.21 = 6,066.92/x
  3. Step 3: Cross multiply
    10,782.29x = 14,880.21 × 6,066.92
  4. Step 4: Simplify right side
    10,782.29x = 90,277,043.65
  5. Step 5: Solve for x
    x = 90,277,043.65/10,782.29
  6. Step 6: Final answer
    x = 8,372.72

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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.