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Finding the Fourth Proportional to 10,539.06, 15,817.68 and 5,863.74

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Solution

The fourth proportional to 10,539.06, 15,817.68 and 5,863.74 is: 8,800.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539.06 : 15,817.68 = 5,863.74 : x
  2. Step 2: Convert to fraction form
    10,539.06/15,817.68 = 5,863.74/x
  3. Step 3: Cross multiply
    10,539.06x = 15,817.68 × 5,863.74
  4. Step 4: Simplify right side
    10,539.06x = 92,750,762.92
  5. Step 5: Solve for x
    x = 92,750,762.92/10,539.06
  6. Step 6: Final answer
    x = 8,800.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.