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Finding the Fourth Proportional to 7,675.39, 11,513.08 and 5,077.72

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Solution

The fourth proportional to 7,675.39, 11,513.08 and 5,077.72 is: 7,616.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.39 : 11,513.08 = 5,077.72 : x
  2. Step 2: Convert to fraction form
    7,675.39/11,513.08 = 5,077.72/x
  3. Step 3: Cross multiply
    7,675.39x = 11,513.08 × 5,077.72
  4. Step 4: Simplify right side
    7,675.39x = 58,460,196.58
  5. Step 5: Solve for x
    x = 58,460,196.58/7,675.39
  6. Step 6: Final answer
    x = 7,616.58

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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.