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Finding the Fourth Proportional to 8,303.29, 11,457.61 and 4,945.63

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Solution

The fourth proportional to 8,303.29, 11,457.61 and 4,945.63 is: 6,824.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303.29 : 11,457.61 = 4,945.63 : x
  2. Step 2: Convert to fraction form
    8,303.29/11,457.61 = 4,945.63/x
  3. Step 3: Cross multiply
    8,303.29x = 11,457.61 × 4,945.63
  4. Step 4: Simplify right side
    8,303.29x = 56,665,099.74
  5. Step 5: Solve for x
    x = 56,665,099.74/8,303.29
  6. Step 6: Final answer
    x = 6,824.42

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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.