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Finding the Fourth Proportional to 8,590.32, 11,856.97 and 5,054.67

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Solution

The fourth proportional to 8,590.32, 11,856.97 and 5,054.67 is: 6,976.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.32 : 11,856.97 = 5,054.67 : x
  2. Step 2: Convert to fraction form
    8,590.32/11,856.97 = 5,054.67/x
  3. Step 3: Cross multiply
    8,590.32x = 11,856.97 × 5,054.67
  4. Step 4: Simplify right side
    8,590.32x = 59,933,011.27
  5. Step 5: Solve for x
    x = 59,933,011.27/8,590.32
  6. Step 6: Final answer
    x = 6,976.81

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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.