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Finding the Fourth Proportional to 11,300.86, 15,593.67 and 6,264.82

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Solution

The fourth proportional to 11,300.86, 15,593.67 and 6,264.82 is: 8,644.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,300.86 : 15,593.67 = 6,264.82 : x
  2. Step 2: Convert to fraction form
    11,300.86/15,593.67 = 6,264.82/x
  3. Step 3: Cross multiply
    11,300.86x = 15,593.67 × 6,264.82
  4. Step 4: Simplify right side
    11,300.86x = 97,691,496.71
  5. Step 5: Solve for x
    x = 97,691,496.71/11,300.86
  6. Step 6: Final answer
    x = 8,644.61

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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.