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Finding the Fourth Proportional to 10,537, 15,793.98 and 4,685.32

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Solution

The fourth proportional to 10,537, 15,793.98 and 4,685.32 is: 7,022.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537 : 15,793.98 = 4,685.32 : x
  2. Step 2: Convert to fraction form
    10,537/15,793.98 = 4,685.32/x
  3. Step 3: Cross multiply
    10,537x = 15,793.98 × 4,685.32
  4. Step 4: Simplify right side
    10,537x = 73,999,850.37
  5. Step 5: Solve for x
    x = 73,999,850.37/10,537
  6. Step 6: Final answer
    x = 7,022.86

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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.