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Finding the Fourth Proportional to 8,138.06, 11,230.53 and 4,412.06

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Solution

The fourth proportional to 8,138.06, 11,230.53 and 4,412.06 is: 6,088.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.06 : 11,230.53 = 4,412.06 : x
  2. Step 2: Convert to fraction form
    8,138.06/11,230.53 = 4,412.06/x
  3. Step 3: Cross multiply
    8,138.06x = 11,230.53 × 4,412.06
  4. Step 4: Simplify right side
    8,138.06x = 49,549,772.19
  5. Step 5: Solve for x
    x = 49,549,772.19/8,138.06
  6. Step 6: Final answer
    x = 6,088.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.