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Finding the Fourth Proportional to 11,726.32, 16,181.58 and 6,421.20

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Solution

The fourth proportional to 11,726.32, 16,181.58 and 6,421.20 is: 8,860.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,726.32 : 16,181.58 = 6,421.20 : x
  2. Step 2: Convert to fraction form
    11,726.32/16,181.58 = 6,421.20/x
  3. Step 3: Cross multiply
    11,726.32x = 16,181.58 × 6,421.20
  4. Step 4: Simplify right side
    11,726.32x = 103,905,161.50
  5. Step 5: Solve for x
    x = 103,905,161.50/11,726.32
  6. Step 6: Final answer
    x = 8,860.85

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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.