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Finding the Fourth Proportional to 10,446.77, 15,670.16 and 5,185.41

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Solution

The fourth proportional to 10,446.77, 15,670.16 and 5,185.41 is: 7,778.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.77 : 15,670.16 = 5,185.41 : x
  2. Step 2: Convert to fraction form
    10,446.77/15,670.16 = 5,185.41/x
  3. Step 3: Cross multiply
    10,446.77x = 15,670.16 × 5,185.41
  4. Step 4: Simplify right side
    10,446.77x = 81,256,178.44
  5. Step 5: Solve for x
    x = 81,256,178.44/10,446.77
  6. Step 6: Final answer
    x = 7,778.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.