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Finding the Fourth Proportional to 8,377, 11,559.87 and 5,021.67

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Solution

The fourth proportional to 8,377, 11,559.87 and 5,021.67 is: 6,929.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,377 : 11,559.87 = 5,021.67 : x
  2. Step 2: Convert to fraction form
    8,377/11,559.87 = 5,021.67/x
  3. Step 3: Cross multiply
    8,377x = 11,559.87 × 5,021.67
  4. Step 4: Simplify right side
    8,377x = 58,049,852.38
  5. Step 5: Solve for x
    x = 58,049,852.38/8,377
  6. Step 6: Final answer
    x = 6,929.67

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Why These Related Problems?

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