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Finding the Fourth Proportional to 7,866.24, 10,851 and 4,721.76

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Solution

The fourth proportional to 7,866.24, 10,851 and 4,721.76 is: 6,513.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.24 : 10,851 = 4,721.76 : x
  2. Step 2: Convert to fraction form
    7,866.24/10,851 = 4,721.76/x
  3. Step 3: Cross multiply
    7,866.24x = 10,851 × 4,721.76
  4. Step 4: Simplify right side
    7,866.24x = 51,235,817.76
  5. Step 5: Solve for x
    x = 51,235,817.76/7,866.24
  6. Step 6: Final answer
    x = 6,513.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.