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Finding the Fourth Proportional to 11,810.63, 16,298.08 and 6,774.46

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Solution

The fourth proportional to 11,810.63, 16,298.08 and 6,774.46 is: 9,348.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,810.63 : 16,298.08 = 6,774.46 : x
  2. Step 2: Convert to fraction form
    11,810.63/16,298.08 = 6,774.46/x
  3. Step 3: Cross multiply
    11,810.63x = 16,298.08 × 6,774.46
  4. Step 4: Simplify right side
    11,810.63x = 110,410,633.36
  5. Step 5: Solve for x
    x = 110,410,633.36/11,810.63
  6. Step 6: Final answer
    x = 9,348.41

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