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Finding the Fourth Proportional to 11,577.87, 15,977.61 and 6,542.16

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Solution

The fourth proportional to 11,577.87, 15,977.61 and 6,542.16 is: 9,028.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577.87 : 15,977.61 = 6,542.16 : x
  2. Step 2: Convert to fraction form
    11,577.87/15,977.61 = 6,542.16/x
  3. Step 3: Cross multiply
    11,577.87x = 15,977.61 × 6,542.16
  4. Step 4: Simplify right side
    11,577.87x = 104,528,081.04
  5. Step 5: Solve for x
    x = 104,528,081.04/11,577.87
  6. Step 6: Final answer
    x = 9,028.27

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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.