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Finding the Fourth Proportional to 7,587.38, 11,393.42 and 4,684.14

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Solution

The fourth proportional to 7,587.38, 11,393.42 and 4,684.14 is: 7,033.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,587.38 : 11,393.42 = 4,684.14 : x
  2. Step 2: Convert to fraction form
    7,587.38/11,393.42 = 4,684.14/x
  3. Step 3: Cross multiply
    7,587.38x = 11,393.42 × 4,684.14
  4. Step 4: Simplify right side
    7,587.38x = 53,368,374.36
  5. Step 5: Solve for x
    x = 53,368,374.36/7,587.38
  6. Step 6: Final answer
    x = 7,033.83

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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.