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Finding the Fourth Proportional to 11,652.48, 16,080.34 and 6,347.28

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Solution

The fourth proportional to 11,652.48, 16,080.34 and 6,347.28 is: 8,759.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.48 : 16,080.34 = 6,347.28 : x
  2. Step 2: Convert to fraction form
    11,652.48/16,080.34 = 6,347.28/x
  3. Step 3: Cross multiply
    11,652.48x = 16,080.34 × 6,347.28
  4. Step 4: Simplify right side
    11,652.48x = 102,066,420.48
  5. Step 5: Solve for x
    x = 102,066,420.48/11,652.48
  6. Step 6: Final answer
    x = 8,759.20

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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.