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Finding the Fourth Proportional to 11,911.46, 16,436.52 and 7,130.43

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Solution

The fourth proportional to 11,911.46, 16,436.52 and 7,130.43 is: 9,839.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.46 : 16,436.52 = 7,130.43 : x
  2. Step 2: Convert to fraction form
    11,911.46/16,436.52 = 7,130.43/x
  3. Step 3: Cross multiply
    11,911.46x = 16,436.52 × 7,130.43
  4. Step 4: Simplify right side
    11,911.46x = 117,199,455.30
  5. Step 5: Solve for x
    x = 117,199,455.30/11,911.46
  6. Step 6: Final answer
    x = 9,839.22

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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.