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Finding the Fourth Proportional to 10,824.63, 14,937.98 and 5,856.63

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Solution

The fourth proportional to 10,824.63, 14,937.98 and 5,856.63 is: 8,082.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,824.63 : 14,937.98 = 5,856.63 : x
  2. Step 2: Convert to fraction form
    10,824.63/14,937.98 = 5,856.63/x
  3. Step 3: Cross multiply
    10,824.63x = 14,937.98 × 5,856.63
  4. Step 4: Simplify right side
    10,824.63x = 87,486,221.81
  5. Step 5: Solve for x
    x = 87,486,221.81/10,824.63
  6. Step 6: Final answer
    x = 8,082.14

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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.