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Finding the Fourth Proportional to 7,787.76, 10,745.64 and 4,644.24

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Solution

The fourth proportional to 7,787.76, 10,745.64 and 4,644.24 is: 6,408.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.76 : 10,745.64 = 4,644.24 : x
  2. Step 2: Convert to fraction form
    7,787.76/10,745.64 = 4,644.24/x
  3. Step 3: Cross multiply
    7,787.76x = 10,745.64 × 4,644.24
  4. Step 4: Simplify right side
    7,787.76x = 49,905,331.11
  5. Step 5: Solve for x
    x = 49,905,331.11/7,787.76
  6. Step 6: Final answer
    x = 6,408.18

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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.