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Finding the Fourth Proportional to 10,763.81, 14,854.38 and 6,515.64

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Solution

The fourth proportional to 10,763.81, 14,854.38 and 6,515.64 is: 8,991.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,763.81 : 14,854.38 = 6,515.64 : x
  2. Step 2: Convert to fraction form
    10,763.81/14,854.38 = 6,515.64/x
  3. Step 3: Cross multiply
    10,763.81x = 14,854.38 × 6,515.64
  4. Step 4: Simplify right side
    10,763.81x = 96,785,792.50
  5. Step 5: Solve for x
    x = 96,785,792.50/10,763.81
  6. Step 6: Final answer
    x = 8,991.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.