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Finding the Fourth Proportional to 10,494.76, 15,742.27 and 3,099.32

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Solution

The fourth proportional to 10,494.76, 15,742.27 and 3,099.32 is: 4,649.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.76 : 15,742.27 = 3,099.32 : x
  2. Step 2: Convert to fraction form
    10,494.76/15,742.27 = 3,099.32/x
  3. Step 3: Cross multiply
    10,494.76x = 15,742.27 × 3,099.32
  4. Step 4: Simplify right side
    10,494.76x = 48,790,332.26
  5. Step 5: Solve for x
    x = 48,790,332.26/10,494.76
  6. Step 6: Final answer
    x = 4,649.02

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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.