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Finding the Fourth Proportional to 10,665.56, 14,718.36 and 5,951

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Solution

The fourth proportional to 10,665.56, 14,718.36 and 5,951 is: 8,212.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.56 : 14,718.36 = 5,951 : x
  2. Step 2: Convert to fraction form
    10,665.56/14,718.36 = 5,951/x
  3. Step 3: Cross multiply
    10,665.56x = 14,718.36 × 5,951
  4. Step 4: Simplify right side
    10,665.56x = 87,588,960.36
  5. Step 5: Solve for x
    x = 87,588,960.36/10,665.56
  6. Step 6: Final answer
    x = 8,212.32

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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.