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Finding the Fourth Proportional to 11,941.18, 16,457.41 and 9,710.44

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Solution

The fourth proportional to 11,941.18, 16,457.41 and 9,710.44 is: 13,382.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,941.18 : 16,457.41 = 9,710.44 : x
  2. Step 2: Convert to fraction form
    11,941.18/16,457.41 = 9,710.44/x
  3. Step 3: Cross multiply
    11,941.18x = 16,457.41 × 9,710.44
  4. Step 4: Simplify right side
    11,941.18x = 159,808,692.36
  5. Step 5: Solve for x
    x = 159,808,692.36/11,941.18
  6. Step 6: Final answer
    x = 13,382.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.