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Finding the Fourth Proportional to 11,726.16, 16,182.12 and 6,420.99

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Solution

The fourth proportional to 11,726.16, 16,182.12 and 6,420.99 is: 8,860.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,726.16 : 16,182.12 = 6,420.99 : x
  2. Step 2: Convert to fraction form
    11,726.16/16,182.12 = 6,420.99/x
  3. Step 3: Cross multiply
    11,726.16x = 16,182.12 × 6,420.99
  4. Step 4: Simplify right side
    11,726.16x = 103,905,230.70
  5. Step 5: Solve for x
    x = 103,905,230.70/11,726.16
  6. Step 6: Final answer
    x = 8,860.98

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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.