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Finding the Fourth Proportional to 10,605.54, 14,635.53 and 6,129.12

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Solution

The fourth proportional to 10,605.54, 14,635.53 and 6,129.12 is: 8,458.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.54 : 14,635.53 = 6,129.12 : x
  2. Step 2: Convert to fraction form
    10,605.54/14,635.53 = 6,129.12/x
  3. Step 3: Cross multiply
    10,605.54x = 14,635.53 × 6,129.12
  4. Step 4: Simplify right side
    10,605.54x = 89,702,919.63
  5. Step 5: Solve for x
    x = 89,702,919.63/10,605.54
  6. Step 6: Final answer
    x = 8,458.12

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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.