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Finding the Fourth Proportional to 10,649.16, 15,976.29 and 4,805.76

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Solution

The fourth proportional to 10,649.16, 15,976.29 and 4,805.76 is: 7,209.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.16 : 15,976.29 = 4,805.76 : x
  2. Step 2: Convert to fraction form
    10,649.16/15,976.29 = 4,805.76/x
  3. Step 3: Cross multiply
    10,649.16x = 15,976.29 × 4,805.76
  4. Step 4: Simplify right side
    10,649.16x = 76,778,215.43
  5. Step 5: Solve for x
    x = 76,778,215.43/10,649.16
  6. Step 6: Final answer
    x = 7,209.79

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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.