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Finding the Fourth Proportional to 10,697.88, 16,047.63 and 2,906.58

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Solution

The fourth proportional to 10,697.88, 16,047.63 and 2,906.58 is: 4,360.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.88 : 16,047.63 = 2,906.58 : x
  2. Step 2: Convert to fraction form
    10,697.88/16,047.63 = 2,906.58/x
  3. Step 3: Cross multiply
    10,697.88x = 16,047.63 × 2,906.58
  4. Step 4: Simplify right side
    10,697.88x = 46,643,720.41
  5. Step 5: Solve for x
    x = 46,643,720.41/10,697.88
  6. Step 6: Final answer
    x = 4,360.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.