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Finding the Fourth Proportional to 10,670.64, 16,006.86 and 3,650.40

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Solution

The fourth proportional to 10,670.64, 16,006.86 and 3,650.40 is: 5,475.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,670.64 : 16,006.86 = 3,650.40 : x
  2. Step 2: Convert to fraction form
    10,670.64/16,006.86 = 3,650.40/x
  3. Step 3: Cross multiply
    10,670.64x = 16,006.86 × 3,650.40
  4. Step 4: Simplify right side
    10,670.64x = 58,431,441.74
  5. Step 5: Solve for x
    x = 58,431,441.74/10,670.64
  6. Step 6: Final answer
    x = 5,475.91

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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.