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Finding the Fourth Proportional to 10,417.96, 15,650.46 and 6,046.12

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Solution

The fourth proportional to 10,417.96, 15,650.46 and 6,046.12 is: 9,082.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.96 : 15,650.46 = 6,046.12 : x
  2. Step 2: Convert to fraction form
    10,417.96/15,650.46 = 6,046.12/x
  3. Step 3: Cross multiply
    10,417.96x = 15,650.46 × 6,046.12
  4. Step 4: Simplify right side
    10,417.96x = 94,624,559.22
  5. Step 5: Solve for x
    x = 94,624,559.22/10,417.96
  6. Step 6: Final answer
    x = 9,082.83

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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.