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Finding the Fourth Proportional to 8,313.57, 11,473.98 and 5,085.24

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Solution

The fourth proportional to 8,313.57, 11,473.98 and 5,085.24 is: 7,018.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.57 : 11,473.98 = 5,085.24 : x
  2. Step 2: Convert to fraction form
    8,313.57/11,473.98 = 5,085.24/x
  3. Step 3: Cross multiply
    8,313.57x = 11,473.98 × 5,085.24
  4. Step 4: Simplify right side
    8,313.57x = 58,347,942.06
  5. Step 5: Solve for x
    x = 58,347,942.06/8,313.57
  6. Step 6: Final answer
    x = 7,018.40

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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.