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Finding the Fourth Proportional to 10,742.81, 14,825.16 and 6,028.20

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Solution

The fourth proportional to 10,742.81, 14,825.16 and 6,028.20 is: 8,318.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,742.81 : 14,825.16 = 6,028.20 : x
  2. Step 2: Convert to fraction form
    10,742.81/14,825.16 = 6,028.20/x
  3. Step 3: Cross multiply
    10,742.81x = 14,825.16 × 6,028.20
  4. Step 4: Simplify right side
    10,742.81x = 89,369,029.51
  5. Step 5: Solve for x
    x = 89,369,029.51/10,742.81
  6. Step 6: Final answer
    x = 8,318.97

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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.