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Finding the Fourth Proportional to 11,572.81, 15,970.47 and 6,267.63

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Solution

The fourth proportional to 11,572.81, 15,970.47 and 6,267.63 is: 8,649.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.81 : 15,970.47 = 6,267.63 : x
  2. Step 2: Convert to fraction form
    11,572.81/15,970.47 = 6,267.63/x
  3. Step 3: Cross multiply
    11,572.81x = 15,970.47 × 6,267.63
  4. Step 4: Simplify right side
    11,572.81x = 100,096,943.44
  5. Step 5: Solve for x
    x = 100,096,943.44/11,572.81
  6. Step 6: Final answer
    x = 8,649.32

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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.