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Finding the Fourth Proportional to 11,697.57, 16,153.43 and 7,513.11

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Solution

The fourth proportional to 11,697.57, 16,153.43 and 7,513.11 is: 10,375.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.57 : 16,153.43 = 7,513.11 : x
  2. Step 2: Convert to fraction form
    11,697.57/16,153.43 = 7,513.11/x
  3. Step 3: Cross multiply
    11,697.57x = 16,153.43 × 7,513.11
  4. Step 4: Simplify right side
    11,697.57x = 121,362,458.90
  5. Step 5: Solve for x
    x = 121,362,458.90/11,697.57
  6. Step 6: Final answer
    x = 10,375.01

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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.