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Finding the Fourth Proportional to 11,440.40, 15,787.92 and 6,964.34

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Solution

The fourth proportional to 11,440.40, 15,787.92 and 6,964.34 is: 9,610.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,440.40 : 15,787.92 = 6,964.34 : x
  2. Step 2: Convert to fraction form
    11,440.40/15,787.92 = 6,964.34/x
  3. Step 3: Cross multiply
    11,440.40x = 15,787.92 × 6,964.34
  4. Step 4: Simplify right side
    11,440.40x = 109,952,442.77
  5. Step 5: Solve for x
    x = 109,952,442.77/11,440.40
  6. Step 6: Final answer
    x = 9,610.89

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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.