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Finding the Fourth Proportional to 11,726.61, 16,182.72 and 6,421.42

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Solution

The fourth proportional to 11,726.61, 16,182.72 and 6,421.42 is: 8,861.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,726.61 : 16,182.72 = 6,421.42 : x
  2. Step 2: Convert to fraction form
    11,726.61/16,182.72 = 6,421.42/x
  3. Step 3: Cross multiply
    11,726.61x = 16,182.72 × 6,421.42
  4. Step 4: Simplify right side
    11,726.61x = 103,916,095.32
  5. Step 5: Solve for x
    x = 103,916,095.32/11,726.61
  6. Step 6: Final answer
    x = 8,861.57

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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.