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Finding the Fourth Proportional to 10,264.50, 14,166.36 and 5,789.66

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Solution

The fourth proportional to 10,264.50, 14,166.36 and 5,789.66 is: 7,990.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264.50 : 14,166.36 = 5,789.66 : x
  2. Step 2: Convert to fraction form
    10,264.50/14,166.36 = 5,789.66/x
  3. Step 3: Cross multiply
    10,264.50x = 14,166.36 × 5,789.66
  4. Step 4: Simplify right side
    10,264.50x = 82,018,407.84
  5. Step 5: Solve for x
    x = 82,018,407.84/10,264.50
  6. Step 6: Final answer
    x = 7,990.49

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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.