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Finding the Fourth Proportional to 7,587.68, 11,379.69 and 3,888

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Solution

The fourth proportional to 7,587.68, 11,379.69 and 3,888 is: 5,831.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,587.68 : 11,379.69 = 3,888 : x
  2. Step 2: Convert to fraction form
    7,587.68/11,379.69 = 3,888/x
  3. Step 3: Cross multiply
    7,587.68x = 11,379.69 × 3,888
  4. Step 4: Simplify right side
    7,587.68x = 44,244,234.72
  5. Step 5: Solve for x
    x = 44,244,234.72/7,587.68
  6. Step 6: Final answer
    x = 5,831.07

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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.