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Finding the Fourth Proportional to 10,667.02, 14,718.14 and 6,188.18

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Solution

The fourth proportional to 10,667.02, 14,718.14 and 6,188.18 is: 8,538.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,667.02 : 14,718.14 = 6,188.18 : x
  2. Step 2: Convert to fraction form
    10,667.02/14,718.14 = 6,188.18/x
  3. Step 3: Cross multiply
    10,667.02x = 14,718.14 × 6,188.18
  4. Step 4: Simplify right side
    10,667.02x = 91,078,469.05
  5. Step 5: Solve for x
    x = 91,078,469.05/10,667.02
  6. Step 6: Final answer
    x = 8,538.32

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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.