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Finding the Fourth Proportional to 10,856, 14,984.08 and 6,667.76

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Solution

The fourth proportional to 10,856, 14,984.08 and 6,667.76 is: 9,203.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,856 : 14,984.08 = 6,667.76 : x
  2. Step 2: Convert to fraction form
    10,856/14,984.08 = 6,667.76/x
  3. Step 3: Cross multiply
    10,856x = 14,984.08 × 6,667.76
  4. Step 4: Simplify right side
    10,856x = 99,910,249.26
  5. Step 5: Solve for x
    x = 99,910,249.26/10,856
  6. Step 6: Final answer
    x = 9,203.23

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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.