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Finding the Fourth Proportional to 7,866.24, 10,856.80 and 4,722.63

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Solution

The fourth proportional to 7,866.24, 10,856.80 and 4,722.63 is: 6,518.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.24 : 10,856.80 = 4,722.63 : x
  2. Step 2: Convert to fraction form
    7,866.24/10,856.80 = 4,722.63/x
  3. Step 3: Cross multiply
    7,866.24x = 10,856.80 × 4,722.63
  4. Step 4: Simplify right side
    7,866.24x = 51,272,649.38
  5. Step 5: Solve for x
    x = 51,272,649.38/7,866.24
  6. Step 6: Final answer
    x = 6,518.06

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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.