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Finding the Fourth Proportional to 11,649.08, 16,040.76 and 10,435.34

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Solution

The fourth proportional to 11,649.08, 16,040.76 and 10,435.34 is: 14,369.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.08 : 16,040.76 = 10,435.34 : x
  2. Step 2: Convert to fraction form
    11,649.08/16,040.76 = 10,435.34/x
  3. Step 3: Cross multiply
    11,649.08x = 16,040.76 × 10,435.34
  4. Step 4: Simplify right side
    11,649.08x = 167,390,784.46
  5. Step 5: Solve for x
    x = 167,390,784.46/11,649.08
  6. Step 6: Final answer
    x = 14,369.44

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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.