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Finding the Fourth Proportional to 10,977.25, 16,465.91 and 2,657.25

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Solution

The fourth proportional to 10,977.25, 16,465.91 and 2,657.25 is: 3,985.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,977.25 : 16,465.91 = 2,657.25 : x
  2. Step 2: Convert to fraction form
    10,977.25/16,465.91 = 2,657.25/x
  3. Step 3: Cross multiply
    10,977.25x = 16,465.91 × 2,657.25
  4. Step 4: Simplify right side
    10,977.25x = 43,754,021.59
  5. Step 5: Solve for x
    x = 43,754,021.59/10,977.25
  6. Step 6: Final answer
    x = 3,985.88

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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.