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Finding the Fourth Proportional to 10,309.76, 14,227.55 and 5,594.07

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Solution

The fourth proportional to 10,309.76, 14,227.55 and 5,594.07 is: 7,719.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,309.76 : 14,227.55 = 5,594.07 : x
  2. Step 2: Convert to fraction form
    10,309.76/14,227.55 = 5,594.07/x
  3. Step 3: Cross multiply
    10,309.76x = 14,227.55 × 5,594.07
  4. Step 4: Simplify right side
    10,309.76x = 79,589,882.66
  5. Step 5: Solve for x
    x = 79,589,882.66/10,309.76
  6. Step 6: Final answer
    x = 7,719.86

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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.