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Finding the Fourth Proportional to 8,283.47, 11,430.87 and 4,745.99

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Solution

The fourth proportional to 8,283.47, 11,430.87 and 4,745.99 is: 6,549.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.47 : 11,430.87 = 4,745.99 : x
  2. Step 2: Convert to fraction form
    8,283.47/11,430.87 = 4,745.99/x
  3. Step 3: Cross multiply
    8,283.47x = 11,430.87 × 4,745.99
  4. Step 4: Simplify right side
    8,283.47x = 54,250,737.56
  5. Step 5: Solve for x
    x = 54,250,737.56/8,283.47
  6. Step 6: Final answer
    x = 6,549.28

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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.