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Finding the Fourth Proportional to 10,967.72, 16,451.57 and 4,389.30

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Solution

The fourth proportional to 10,967.72, 16,451.57 and 4,389.30 is: 6,583.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.72 : 16,451.57 = 4,389.30 : x
  2. Step 2: Convert to fraction form
    10,967.72/16,451.57 = 4,389.30/x
  3. Step 3: Cross multiply
    10,967.72x = 16,451.57 × 4,389.30
  4. Step 4: Simplify right side
    10,967.72x = 72,210,887.17
  5. Step 5: Solve for x
    x = 72,210,887.17/10,967.72
  6. Step 6: Final answer
    x = 6,583.95

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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.