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Finding the Fourth Proportional to 10,513.86, 15,770.80 and 2,722.66

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Solution

The fourth proportional to 10,513.86, 15,770.80 and 2,722.66 is: 4,083.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.86 : 15,770.80 = 2,722.66 : x
  2. Step 2: Convert to fraction form
    10,513.86/15,770.80 = 2,722.66/x
  3. Step 3: Cross multiply
    10,513.86x = 15,770.80 × 2,722.66
  4. Step 4: Simplify right side
    10,513.86x = 42,938,526.33
  5. Step 5: Solve for x
    x = 42,938,526.33/10,513.86
  6. Step 6: Final answer
    x = 4,083.99

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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.