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Finding the Fourth Proportional to 10,615.28, 14,649.90 and 6,366.50

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Solution

The fourth proportional to 10,615.28, 14,649.90 and 6,366.50 is: 8,786.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.28 : 14,649.90 = 6,366.50 : x
  2. Step 2: Convert to fraction form
    10,615.28/14,649.90 = 6,366.50/x
  3. Step 3: Cross multiply
    10,615.28x = 14,649.90 × 6,366.50
  4. Step 4: Simplify right side
    10,615.28x = 93,268,546.16
  5. Step 5: Solve for x
    x = 93,268,546.16/10,615.28
  6. Step 6: Final answer
    x = 8,786.26

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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.