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Finding the Fourth Proportional to 10,649.24, 14,662.50 and 9,052.74

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Solution

The fourth proportional to 10,649.24, 14,662.50 and 9,052.74 is: 12,464.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.24 : 14,662.50 = 9,052.74 : x
  2. Step 2: Convert to fraction form
    10,649.24/14,662.50 = 9,052.74/x
  3. Step 3: Cross multiply
    10,649.24x = 14,662.50 × 9,052.74
  4. Step 4: Simplify right side
    10,649.24x = 132,735,800.25
  5. Step 5: Solve for x
    x = 132,735,800.25/10,649.24
  6. Step 6: Final answer
    x = 12,464.34

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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.