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Finding the Fourth Proportional to 10,856.67, 14,965.88 and 8,494.71

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Solution

The fourth proportional to 10,856.67, 14,965.88 and 8,494.71 is: 11,709.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,856.67 : 14,965.88 = 8,494.71 : x
  2. Step 2: Convert to fraction form
    10,856.67/14,965.88 = 8,494.71/x
  3. Step 3: Cross multiply
    10,856.67x = 14,965.88 × 8,494.71
  4. Step 4: Simplify right side
    10,856.67x = 127,130,768.02
  5. Step 5: Solve for x
    x = 127,130,768.02/10,856.67
  6. Step 6: Final answer
    x = 11,709.92

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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.