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Finding the Fourth Proportional to 7,066.39, 9,751.71 and 4,082.35

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Solution

The fourth proportional to 7,066.39, 9,751.71 and 4,082.35 is: 5,633.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,066.39 : 9,751.71 = 4,082.35 : x
  2. Step 2: Convert to fraction form
    7,066.39/9,751.71 = 4,082.35/x
  3. Step 3: Cross multiply
    7,066.39x = 9,751.71 × 4,082.35
  4. Step 4: Simplify right side
    7,066.39x = 39,809,893.32
  5. Step 5: Solve for x
    x = 39,809,893.32/7,066.39
  6. Step 6: Final answer
    x = 5,633.70

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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.