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Finding the Fourth Proportional to 7,587.02, 11,383.71 and 3,640.40

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Solution

The fourth proportional to 7,587.02, 11,383.71 and 3,640.40 is: 5,462.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,587.02 : 11,383.71 = 3,640.40 : x
  2. Step 2: Convert to fraction form
    7,587.02/11,383.71 = 3,640.40/x
  3. Step 3: Cross multiply
    7,587.02x = 11,383.71 × 3,640.40
  4. Step 4: Simplify right side
    7,587.02x = 41,441,200.97
  5. Step 5: Solve for x
    x = 41,441,200.97/7,587.02
  6. Step 6: Final answer
    x = 5,462.12

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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.