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Finding the Fourth Proportional to 8,313.02, 11,470.44 and 4,776.38

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Solution

The fourth proportional to 8,313.02, 11,470.44 and 4,776.38 is: 6,590.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.02 : 11,470.44 = 4,776.38 : x
  2. Step 2: Convert to fraction form
    8,313.02/11,470.44 = 4,776.38/x
  3. Step 3: Cross multiply
    8,313.02x = 11,470.44 × 4,776.38
  4. Step 4: Simplify right side
    8,313.02x = 54,787,180.21
  5. Step 5: Solve for x
    x = 54,787,180.21/8,313.02
  6. Step 6: Final answer
    x = 6,590.53

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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.