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Finding the Fourth Proportional to 10,950.10, 16,425.15 and 6,565.30

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Solution

The fourth proportional to 10,950.10, 16,425.15 and 6,565.30 is: 9,847.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,950.10 : 16,425.15 = 6,565.30 : x
  2. Step 2: Convert to fraction form
    10,950.10/16,425.15 = 6,565.30/x
  3. Step 3: Cross multiply
    10,950.10x = 16,425.15 × 6,565.30
  4. Step 4: Simplify right side
    10,950.10x = 107,836,037.30
  5. Step 5: Solve for x
    x = 107,836,037.30/10,950.10
  6. Step 6: Final answer
    x = 9,847.95

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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.