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Finding the Fourth Proportional to 10,278.96, 14,184.96 and 5,803.64

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Solution

The fourth proportional to 10,278.96, 14,184.96 and 5,803.64 is: 8,009.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278.96 : 14,184.96 = 5,803.64 : x
  2. Step 2: Convert to fraction form
    10,278.96/14,184.96 = 5,803.64/x
  3. Step 3: Cross multiply
    10,278.96x = 14,184.96 × 5,803.64
  4. Step 4: Simplify right side
    10,278.96x = 82,324,401.25
  5. Step 5: Solve for x
    x = 82,324,401.25/10,278.96
  6. Step 6: Final answer
    x = 8,009.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.