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Finding the Fourth Proportional to 10,477.69, 15,718.89 and 3,082.75

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Solution

The fourth proportional to 10,477.69, 15,718.89 and 3,082.75 is: 4,624.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.69 : 15,718.89 = 3,082.75 : x
  2. Step 2: Convert to fraction form
    10,477.69/15,718.89 = 3,082.75/x
  3. Step 3: Cross multiply
    10,477.69x = 15,718.89 × 3,082.75
  4. Step 4: Simplify right side
    10,477.69x = 48,457,408.15
  5. Step 5: Solve for x
    x = 48,457,408.15/10,477.69
  6. Step 6: Final answer
    x = 4,624.82

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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.