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Finding the Fourth Proportional to 11,416.94, 17,130.54 and 7,255.87

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Solution

The fourth proportional to 11,416.94, 17,130.54 and 7,255.87 is: 10,887.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,416.94 : 17,130.54 = 7,255.87 : x
  2. Step 2: Convert to fraction form
    11,416.94/17,130.54 = 7,255.87/x
  3. Step 3: Cross multiply
    11,416.94x = 17,130.54 × 7,255.87
  4. Step 4: Simplify right side
    11,416.94x = 124,296,971.27
  5. Step 5: Solve for x
    x = 124,296,971.27/11,416.94
  6. Step 6: Final answer
    x = 10,887.07

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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.