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Finding the Fourth Proportional to 8,283.36, 11,430.36 and 4,557.36

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Solution

The fourth proportional to 8,283.36, 11,430.36 and 4,557.36 is: 6,288.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.36 : 11,430.36 = 4,557.36 : x
  2. Step 2: Convert to fraction form
    8,283.36/11,430.36 = 4,557.36/x
  3. Step 3: Cross multiply
    8,283.36x = 11,430.36 × 4,557.36
  4. Step 4: Simplify right side
    8,283.36x = 52,092,265.45
  5. Step 5: Solve for x
    x = 52,092,265.45/8,283.36
  6. Step 6: Final answer
    x = 6,288.78

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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.