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Finding the Fourth Proportional to 7,675.51, 11,513.27 and 5,077.84

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Solution

The fourth proportional to 7,675.51, 11,513.27 and 5,077.84 is: 7,616.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.51 : 11,513.27 = 5,077.84 : x
  2. Step 2: Convert to fraction form
    7,675.51/11,513.27 = 5,077.84/x
  3. Step 3: Cross multiply
    7,675.51x = 11,513.27 × 5,077.84
  4. Step 4: Simplify right side
    7,675.51x = 58,462,517.55
  5. Step 5: Solve for x
    x = 58,462,517.55/7,675.51
  6. Step 6: Final answer
    x = 7,616.76

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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.