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Finding the Fourth Proportional to 7,268.85, 10,030.14 and 4,082.31

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Solution

The fourth proportional to 7,268.85, 10,030.14 and 4,082.31 is: 5,633.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,268.85 : 10,030.14 = 4,082.31 : x
  2. Step 2: Convert to fraction form
    7,268.85/10,030.14 = 4,082.31/x
  3. Step 3: Cross multiply
    7,268.85x = 10,030.14 × 4,082.31
  4. Step 4: Simplify right side
    7,268.85x = 40,946,140.82
  5. Step 5: Solve for x
    x = 40,946,140.82/7,268.85
  6. Step 6: Final answer
    x = 5,633.10

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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.