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Finding the Fourth Proportional to 10,289.86, 15,436.71 and 3,369.22

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Solution

The fourth proportional to 10,289.86, 15,436.71 and 3,369.22 is: 5,054.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.86 : 15,436.71 = 3,369.22 : x
  2. Step 2: Convert to fraction form
    10,289.86/15,436.71 = 3,369.22/x
  3. Step 3: Cross multiply
    10,289.86x = 15,436.71 × 3,369.22
  4. Step 4: Simplify right side
    10,289.86x = 52,009,672.07
  5. Step 5: Solve for x
    x = 52,009,672.07/10,289.86
  6. Step 6: Final answer
    x = 5,054.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.