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Finding the Fourth Proportional to 8,283.24, 11,430.86 and 4,748.49

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Solution

The fourth proportional to 8,283.24, 11,430.86 and 4,748.49 is: 6,552.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.24 : 11,430.86 = 4,748.49 : x
  2. Step 2: Convert to fraction form
    8,283.24/11,430.86 = 4,748.49/x
  3. Step 3: Cross multiply
    8,283.24x = 11,430.86 × 4,748.49
  4. Step 4: Simplify right side
    8,283.24x = 54,279,300.66
  5. Step 5: Solve for x
    x = 54,279,300.66/8,283.24
  6. Step 6: Final answer
    x = 6,552.91

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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.