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Finding the Fourth Proportional to 11,484.46, 15,852.54 and 6,768.46

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Solution

The fourth proportional to 11,484.46, 15,852.54 and 6,768.46 is: 9,342.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,484.46 : 15,852.54 = 6,768.46 : x
  2. Step 2: Convert to fraction form
    11,484.46/15,852.54 = 6,768.46/x
  3. Step 3: Cross multiply
    11,484.46x = 15,852.54 × 6,768.46
  4. Step 4: Simplify right side
    11,484.46x = 107,297,282.89
  5. Step 5: Solve for x
    x = 107,297,282.89/11,484.46
  6. Step 6: Final answer
    x = 9,342.82

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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.