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Finding the Fourth Proportional to 8,416.65, 11,608.70 and 6,177.81

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Solution

The fourth proportional to 8,416.65, 11,608.70 and 6,177.81 is: 8,520.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.65 : 11,608.70 = 6,177.81 : x
  2. Step 2: Convert to fraction form
    8,416.65/11,608.70 = 6,177.81/x
  3. Step 3: Cross multiply
    8,416.65x = 11,608.70 × 6,177.81
  4. Step 4: Simplify right side
    8,416.65x = 71,716,312.06
  5. Step 5: Solve for x
    x = 71,716,312.06/8,416.65
  6. Step 6: Final answer
    x = 8,520.77

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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.