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Finding the Fourth Proportional to 11,756.13, 16,224.06 and 7,043.14

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Solution

The fourth proportional to 11,756.13, 16,224.06 and 7,043.14 is: 9,719.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.13 : 16,224.06 = 7,043.14 : x
  2. Step 2: Convert to fraction form
    11,756.13/16,224.06 = 7,043.14/x
  3. Step 3: Cross multiply
    11,756.13x = 16,224.06 × 7,043.14
  4. Step 4: Simplify right side
    11,756.13x = 114,268,325.95
  5. Step 5: Solve for x
    x = 114,268,325.95/11,756.13
  6. Step 6: Final answer
    x = 9,719.89

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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.