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Finding the Fourth Proportional to 10,856.17, 14,965.18 and 8,494.21

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Solution

The fourth proportional to 10,856.17, 14,965.18 and 8,494.21 is: 11,709.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,856.17 : 14,965.18 = 8,494.21 : x
  2. Step 2: Convert to fraction form
    10,856.17/14,965.18 = 8,494.21/x
  3. Step 3: Cross multiply
    10,856.17x = 14,965.18 × 8,494.21
  4. Step 4: Simplify right side
    10,856.17x = 127,117,381.61
  5. Step 5: Solve for x
    x = 127,117,381.61/10,856.17
  6. Step 6: Final answer
    x = 11,709.23

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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.