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Finding the Fourth Proportional to 10,649.58, 15,974.38 and 4,807.86

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Solution

The fourth proportional to 10,649.58, 15,974.38 and 4,807.86 is: 7,211.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.58 : 15,974.38 = 4,807.86 : x
  2. Step 2: Convert to fraction form
    10,649.58/15,974.38 = 4,807.86/x
  3. Step 3: Cross multiply
    10,649.58x = 15,974.38 × 4,807.86
  4. Step 4: Simplify right side
    10,649.58x = 76,802,582.63
  5. Step 5: Solve for x
    x = 76,802,582.63/10,649.58
  6. Step 6: Final answer
    x = 7,211.79

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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.