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Finding the Fourth Proportional to 10,848.82, 14,960.59 and 8,166.46

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Solution

The fourth proportional to 10,848.82, 14,960.59 and 8,166.46 is: 11,261.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,848.82 : 14,960.59 = 8,166.46 : x
  2. Step 2: Convert to fraction form
    10,848.82/14,960.59 = 8,166.46/x
  3. Step 3: Cross multiply
    10,848.82x = 14,960.59 × 8,166.46
  4. Step 4: Simplify right side
    10,848.82x = 122,175,059.81
  5. Step 5: Solve for x
    x = 122,175,059.81/10,848.82
  6. Step 6: Final answer
    x = 11,261.60

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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.