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Finding the Fourth Proportional to 7,645.93, 10,551.15 and 4,660.67

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Solution

The fourth proportional to 7,645.93, 10,551.15 and 4,660.67 is: 6,431.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.93 : 10,551.15 = 4,660.67 : x
  2. Step 2: Convert to fraction form
    7,645.93/10,551.15 = 4,660.67/x
  3. Step 3: Cross multiply
    7,645.93x = 10,551.15 × 4,660.67
  4. Step 4: Simplify right side
    7,645.93x = 49,175,454.65
  5. Step 5: Solve for x
    x = 49,175,454.65/7,645.93
  6. Step 6: Final answer
    x = 6,431.59

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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.