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Finding the Fourth Proportional to 10,273.62, 15,409.24 and 2,878.67

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Solution

The fourth proportional to 10,273.62, 15,409.24 and 2,878.67 is: 4,317.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,273.62 : 15,409.24 = 2,878.67 : x
  2. Step 2: Convert to fraction form
    10,273.62/15,409.24 = 2,878.67/x
  3. Step 3: Cross multiply
    10,273.62x = 15,409.24 × 2,878.67
  4. Step 4: Simplify right side
    10,273.62x = 44,358,116.91
  5. Step 5: Solve for x
    x = 44,358,116.91/10,273.62
  6. Step 6: Final answer
    x = 4,317.67

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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.