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Finding the Fourth Proportional to 8,530.29, 11,772.72 and 4,996.47

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Solution

The fourth proportional to 8,530.29, 11,772.72 and 4,996.47 is: 6,895.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.29 : 11,772.72 = 4,996.47 : x
  2. Step 2: Convert to fraction form
    8,530.29/11,772.72 = 4,996.47/x
  3. Step 3: Cross multiply
    8,530.29x = 11,772.72 × 4,996.47
  4. Step 4: Simplify right side
    8,530.29x = 58,822,042.30
  5. Step 5: Solve for x
    x = 58,822,042.30/8,530.29
  6. Step 6: Final answer
    x = 6,895.67

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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.