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Finding the Fourth Proportional to 10,661.41, 14,718.77 and 7,082.51

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Solution

The fourth proportional to 10,661.41, 14,718.77 and 7,082.51 is: 9,777.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661.41 : 14,718.77 = 7,082.51 : x
  2. Step 2: Convert to fraction form
    10,661.41/14,718.77 = 7,082.51/x
  3. Step 3: Cross multiply
    10,661.41x = 14,718.77 × 7,082.51
  4. Step 4: Simplify right side
    10,661.41x = 104,245,753.27
  5. Step 5: Solve for x
    x = 104,245,753.27/10,661.41
  6. Step 6: Final answer
    x = 9,777.86

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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.