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Finding the Fourth Proportional to 11,726.61, 16,182.90 and 6,421.92

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Solution

The fourth proportional to 11,726.61, 16,182.90 and 6,421.92 is: 8,862.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,726.61 : 16,182.90 = 6,421.92 : x
  2. Step 2: Convert to fraction form
    11,726.61/16,182.90 = 6,421.92/x
  3. Step 3: Cross multiply
    11,726.61x = 16,182.90 × 6,421.92
  4. Step 4: Simplify right side
    11,726.61x = 103,925,289.17
  5. Step 5: Solve for x
    x = 103,925,289.17/11,726.61
  6. Step 6: Final answer
    x = 8,862.35

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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.