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Finding the Fourth Proportional to 10,641.40, 15,956.73 and 6,200.53

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Solution

The fourth proportional to 10,641.40, 15,956.73 and 6,200.53 is: 9,297.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641.40 : 15,956.73 = 6,200.53 : x
  2. Step 2: Convert to fraction form
    10,641.40/15,956.73 = 6,200.53/x
  3. Step 3: Cross multiply
    10,641.40x = 15,956.73 × 6,200.53
  4. Step 4: Simplify right side
    10,641.40x = 98,940,183.07
  5. Step 5: Solve for x
    x = 98,940,183.07/10,641.40
  6. Step 6: Final answer
    x = 9,297.67

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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.