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Finding the Fourth Proportional to 7,787.76, 10,745.10 and 4,641.72

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Solution

The fourth proportional to 7,787.76, 10,745.10 and 4,641.72 is: 6,404.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.76 : 10,745.10 = 4,641.72 : x
  2. Step 2: Convert to fraction form
    7,787.76/10,745.10 = 4,641.72/x
  3. Step 3: Cross multiply
    7,787.76x = 10,745.10 × 4,641.72
  4. Step 4: Simplify right side
    7,787.76x = 49,875,745.57
  5. Step 5: Solve for x
    x = 49,875,745.57/7,787.76
  6. Step 6: Final answer
    x = 6,404.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.