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Finding the Fourth Proportional to 8,014.28, 11,063.22 and 4,829

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Solution

The fourth proportional to 8,014.28, 11,063.22 and 4,829 is: 6,666.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,014.28 : 11,063.22 = 4,829 : x
  2. Step 2: Convert to fraction form
    8,014.28/11,063.22 = 4,829/x
  3. Step 3: Cross multiply
    8,014.28x = 11,063.22 × 4,829
  4. Step 4: Simplify right side
    8,014.28x = 53,424,289.38
  5. Step 5: Solve for x
    x = 53,424,289.38/8,014.28
  6. Step 6: Final answer
    x = 6,666.14

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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.