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Finding the Fourth Proportional to 11,205.64, 16,807.18 and 2,997

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Solution

The fourth proportional to 11,205.64, 16,807.18 and 2,997 is: 4,495.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205.64 : 16,807.18 = 2,997 : x
  2. Step 2: Convert to fraction form
    11,205.64/16,807.18 = 2,997/x
  3. Step 3: Cross multiply
    11,205.64x = 16,807.18 × 2,997
  4. Step 4: Simplify right side
    11,205.64x = 50,371,118.46
  5. Step 5: Solve for x
    x = 50,371,118.46/11,205.64
  6. Step 6: Final answer
    x = 4,495.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.