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Finding the Fourth Proportional to 10,261.86, 15,396.03 and 4,421.22

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Solution

The fourth proportional to 10,261.86, 15,396.03 and 4,421.22 is: 6,633.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,261.86 : 15,396.03 = 4,421.22 : x
  2. Step 2: Convert to fraction form
    10,261.86/15,396.03 = 4,421.22/x
  3. Step 3: Cross multiply
    10,261.86x = 15,396.03 × 4,421.22
  4. Step 4: Simplify right side
    10,261.86x = 68,069,235.76
  5. Step 5: Solve for x
    x = 68,069,235.76/10,261.86
  6. Step 6: Final answer
    x = 6,633.23

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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.