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Finding the Fourth Proportional to 7,730.34, 10,667.88 and 4,193.56

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Solution

The fourth proportional to 7,730.34, 10,667.88 and 4,193.56 is: 5,787.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.34 : 10,667.88 = 4,193.56 : x
  2. Step 2: Convert to fraction form
    7,730.34/10,667.88 = 4,193.56/x
  3. Step 3: Cross multiply
    7,730.34x = 10,667.88 × 4,193.56
  4. Step 4: Simplify right side
    7,730.34x = 44,736,394.85
  5. Step 5: Solve for x
    x = 44,736,394.85/7,730.34
  6. Step 6: Final answer
    x = 5,787.12

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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.