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Finding the Fourth Proportional to 12,890.58, 17,787.41 and 7,852.97

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Solution

The fourth proportional to 12,890.58, 17,787.41 and 7,852.97 is: 10,836.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,890.58 : 17,787.41 = 7,852.97 : x
  2. Step 2: Convert to fraction form
    12,890.58/17,787.41 = 7,852.97/x
  3. Step 3: Cross multiply
    12,890.58x = 17,787.41 × 7,852.97
  4. Step 4: Simplify right side
    12,890.58x = 139,684,031.76
  5. Step 5: Solve for x
    x = 139,684,031.76/12,890.58
  6. Step 6: Final answer
    x = 10,836.14

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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.