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Finding the Fourth Proportional to 11,713.23, 16,158.54 and 7,980.75

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Solution

The fourth proportional to 11,713.23, 16,158.54 and 7,980.75 is: 11,009.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.23 : 16,158.54 = 7,980.75 : x
  2. Step 2: Convert to fraction form
    11,713.23/16,158.54 = 7,980.75/x
  3. Step 3: Cross multiply
    11,713.23x = 16,158.54 × 7,980.75
  4. Step 4: Simplify right side
    11,713.23x = 128,957,268.11
  5. Step 5: Solve for x
    x = 128,957,268.11/11,713.23
  6. Step 6: Final answer
    x = 11,009.54

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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.