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Finding the Fourth Proportional to 10,673.16, 14,728.86 and 5,958.24

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Solution

The fourth proportional to 10,673.16, 14,728.86 and 5,958.24 is: 8,222.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,673.16 : 14,728.86 = 5,958.24 : x
  2. Step 2: Convert to fraction form
    10,673.16/14,728.86 = 5,958.24/x
  3. Step 3: Cross multiply
    10,673.16x = 14,728.86 × 5,958.24
  4. Step 4: Simplify right side
    10,673.16x = 87,758,082.81
  5. Step 5: Solve for x
    x = 87,758,082.81/10,673.16
  6. Step 6: Final answer
    x = 8,222.31

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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.