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Finding the Fourth Proportional to 8,768.16, 12,102.48 and 5,233.76

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Solution

The fourth proportional to 8,768.16, 12,102.48 and 5,233.76 is: 7,224.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,768.16 : 12,102.48 = 5,233.76 : x
  2. Step 2: Convert to fraction form
    8,768.16/12,102.48 = 5,233.76/x
  3. Step 3: Cross multiply
    8,768.16x = 12,102.48 × 5,233.76
  4. Step 4: Simplify right side
    8,768.16x = 63,341,475.72
  5. Step 5: Solve for x
    x = 63,341,475.72/8,768.16
  6. Step 6: Final answer
    x = 7,224.03

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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.