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Finding the Fourth Proportional to 8,586.66, 12,876.42 and 5,814.06

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Solution

The fourth proportional to 8,586.66, 12,876.42 and 5,814.06 is: 8,718.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586.66 : 12,876.42 = 5,814.06 : x
  2. Step 2: Convert to fraction form
    8,586.66/12,876.42 = 5,814.06/x
  3. Step 3: Cross multiply
    8,586.66x = 12,876.42 × 5,814.06
  4. Step 4: Simplify right side
    8,586.66x = 74,864,278.47
  5. Step 5: Solve for x
    x = 74,864,278.47/8,586.66
  6. Step 6: Final answer
    x = 8,718.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.