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Finding the Fourth Proportional to 8,302.67, 11,455.23 and 4,943.80

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Solution

The fourth proportional to 8,302.67, 11,455.23 and 4,943.80 is: 6,820.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.67 : 11,455.23 = 4,943.80 : x
  2. Step 2: Convert to fraction form
    8,302.67/11,455.23 = 4,943.80/x
  3. Step 3: Cross multiply
    8,302.67x = 11,455.23 × 4,943.80
  4. Step 4: Simplify right side
    8,302.67x = 56,632,366.07
  5. Step 5: Solve for x
    x = 56,632,366.07/8,302.67
  6. Step 6: Final answer
    x = 6,820.98

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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.