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Finding the Fourth Proportional to 11,572, 15,969.44 and 6,266.82

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Solution

The fourth proportional to 11,572, 15,969.44 and 6,266.82 is: 8,648.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572 : 15,969.44 = 6,266.82 : x
  2. Step 2: Convert to fraction form
    11,572/15,969.44 = 6,266.82/x
  3. Step 3: Cross multiply
    11,572x = 15,969.44 × 6,266.82
  4. Step 4: Simplify right side
    11,572x = 100,077,605.98
  5. Step 5: Solve for x
    x = 100,077,605.98/11,572
  6. Step 6: Final answer
    x = 8,648.25

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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.