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Finding the Fourth Proportional to 10,814.29, 16,218.08 and 4,574.20

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Solution

The fourth proportional to 10,814.29, 16,218.08 and 4,574.20 is: 6,859.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.29 : 16,218.08 = 4,574.20 : x
  2. Step 2: Convert to fraction form
    10,814.29/16,218.08 = 4,574.20/x
  3. Step 3: Cross multiply
    10,814.29x = 16,218.08 × 4,574.20
  4. Step 4: Simplify right side
    10,814.29x = 74,184,741.54
  5. Step 5: Solve for x
    x = 74,184,741.54/10,814.29
  6. Step 6: Final answer
    x = 6,859.88

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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.