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Finding the Fourth Proportional to 10,492.99, 15,742.19 and 3,919.23

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Solution

The fourth proportional to 10,492.99, 15,742.19 and 3,919.23 is: 5,879.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.99 : 15,742.19 = 3,919.23 : x
  2. Step 2: Convert to fraction form
    10,492.99/15,742.19 = 3,919.23/x
  3. Step 3: Cross multiply
    10,492.99x = 15,742.19 × 3,919.23
  4. Step 4: Simplify right side
    10,492.99x = 61,697,273.11
  5. Step 5: Solve for x
    x = 61,697,273.11/10,492.99
  6. Step 6: Final answer
    x = 5,879.86

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Why These Related Problems?

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