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Finding the Fourth Proportional to 11,652.29, 16,080.47 and 6,347.45

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Solution

The fourth proportional to 11,652.29, 16,080.47 and 6,347.45 is: 8,759.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.29 : 16,080.47 = 6,347.45 : x
  2. Step 2: Convert to fraction form
    11,652.29/16,080.47 = 6,347.45/x
  3. Step 3: Cross multiply
    11,652.29x = 16,080.47 × 6,347.45
  4. Step 4: Simplify right side
    11,652.29x = 102,069,867.16
  5. Step 5: Solve for x
    x = 102,069,867.16/11,652.29
  6. Step 6: Final answer
    x = 8,759.64

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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.