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Finding the Fourth Proportional to 11,777.95, 17,667.02 and 3,458.10

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Solution

The fourth proportional to 11,777.95, 17,667.02 and 3,458.10 is: 5,187.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.95 : 17,667.02 = 3,458.10 : x
  2. Step 2: Convert to fraction form
    11,777.95/17,667.02 = 3,458.10/x
  3. Step 3: Cross multiply
    11,777.95x = 17,667.02 × 3,458.10
  4. Step 4: Simplify right side
    11,777.95x = 61,094,216.24
  5. Step 5: Solve for x
    x = 61,094,216.24/11,777.95
  6. Step 6: Final answer
    x = 5,187.17

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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.