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Finding the Fourth Proportional to 10,536, 15,792.48 and 4,684.32

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Solution

The fourth proportional to 10,536, 15,792.48 and 4,684.32 is: 7,021.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536 : 15,792.48 = 4,684.32 : x
  2. Step 2: Convert to fraction form
    10,536/15,792.48 = 4,684.32/x
  3. Step 3: Cross multiply
    10,536x = 15,792.48 × 4,684.32
  4. Step 4: Simplify right side
    10,536x = 73,977,029.91
  5. Step 5: Solve for x
    x = 73,977,029.91/10,536
  6. Step 6: Final answer
    x = 7,021.36

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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.