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Finding the Fourth Proportional to 10,667.61, 14,719.02 and 6,190.77

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Solution

The fourth proportional to 10,667.61, 14,719.02 and 6,190.77 is: 8,541.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,667.61 : 14,719.02 = 6,190.77 : x
  2. Step 2: Convert to fraction form
    10,667.61/14,719.02 = 6,190.77/x
  3. Step 3: Cross multiply
    10,667.61x = 14,719.02 × 6,190.77
  4. Step 4: Simplify right side
    10,667.61x = 91,122,067.45
  5. Step 5: Solve for x
    x = 91,122,067.45/10,667.61
  6. Step 6: Final answer
    x = 8,541.94

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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.