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Finding the Fourth Proportional to 8,303.25, 11,457.57 and 4,945.61

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Solution

The fourth proportional to 8,303.25, 11,457.57 and 4,945.61 is: 6,824.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303.25 : 11,457.57 = 4,945.61 : x
  2. Step 2: Convert to fraction form
    8,303.25/11,457.57 = 4,945.61/x
  3. Step 3: Cross multiply
    8,303.25x = 11,457.57 × 4,945.61
  4. Step 4: Simplify right side
    8,303.25x = 56,664,615.48
  5. Step 5: Solve for x
    x = 56,664,615.48/8,303.25
  6. Step 6: Final answer
    x = 6,824.39

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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.