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Finding the Fourth Proportional to 11,572.71, 15,970.26 and 6,267.51

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Solution

The fourth proportional to 11,572.71, 15,970.26 and 6,267.51 is: 8,649.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.71 : 15,970.26 = 6,267.51 : x
  2. Step 2: Convert to fraction form
    11,572.71/15,970.26 = 6,267.51/x
  3. Step 3: Cross multiply
    11,572.71x = 15,970.26 × 6,267.51
  4. Step 4: Simplify right side
    11,572.71x = 100,093,764.25
  5. Step 5: Solve for x
    x = 100,093,764.25/11,572.71
  6. Step 6: Final answer
    x = 8,649.12

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