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Finding the Fourth Proportional to 10,605.90, 14,636.22 and 6,129.66

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Solution

The fourth proportional to 10,605.90, 14,636.22 and 6,129.66 is: 8,458.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.90 : 14,636.22 = 6,129.66 : x
  2. Step 2: Convert to fraction form
    10,605.90/14,636.22 = 6,129.66/x
  3. Step 3: Cross multiply
    10,605.90x = 14,636.22 × 6,129.66
  4. Step 4: Simplify right side
    10,605.90x = 89,715,052.29
  5. Step 5: Solve for x
    x = 89,715,052.29/10,605.90
  6. Step 6: Final answer
    x = 8,458.98

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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.