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Finding the Fourth Proportional to 8,302.73, 11,457.35 and 4,717.22

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Solution

The fourth proportional to 8,302.73, 11,457.35 and 4,717.22 is: 6,509.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.73 : 11,457.35 = 4,717.22 : x
  2. Step 2: Convert to fraction form
    8,302.73/11,457.35 = 4,717.22/x
  3. Step 3: Cross multiply
    8,302.73x = 11,457.35 × 4,717.22
  4. Step 4: Simplify right side
    8,302.73x = 54,046,820.35
  5. Step 5: Solve for x
    x = 54,046,820.35/8,302.73
  6. Step 6: Final answer
    x = 6,509.52

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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.