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Finding the Fourth Proportional to 10,640.67, 15,966.41 and 4,795.98

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Solution

The fourth proportional to 10,640.67, 15,966.41 and 4,795.98 is: 7,196.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.67 : 15,966.41 = 4,795.98 : x
  2. Step 2: Convert to fraction form
    10,640.67/15,966.41 = 4,795.98/x
  3. Step 3: Cross multiply
    10,640.67x = 15,966.41 × 4,795.98
  4. Step 4: Simplify right side
    10,640.67x = 76,574,559.05
  5. Step 5: Solve for x
    x = 76,574,559.05/10,640.67
  6. Step 6: Final answer
    x = 7,196.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.