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Finding the Fourth Proportional to 6,881.05, 10,302 and 4,767.94

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Solution

The fourth proportional to 6,881.05, 10,302 and 4,767.94 is: 7,138.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.05 : 10,302 = 4,767.94 : x
  2. Step 2: Convert to fraction form
    6,881.05/10,302 = 4,767.94/x
  3. Step 3: Cross multiply
    6,881.05x = 10,302 × 4,767.94
  4. Step 4: Simplify right side
    6,881.05x = 49,119,317.88
  5. Step 5: Solve for x
    x = 49,119,317.88/6,881.05
  6. Step 6: Final answer
    x = 7,138.35

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