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Finding the Fourth Proportional to 11,900.78, 16,422.63 and 6,595.46

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Solution

The fourth proportional to 11,900.78, 16,422.63 and 6,595.46 is: 9,101.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.78 : 16,422.63 = 6,595.46 : x
  2. Step 2: Convert to fraction form
    11,900.78/16,422.63 = 6,595.46/x
  3. Step 3: Cross multiply
    11,900.78x = 16,422.63 × 6,595.46
  4. Step 4: Simplify right side
    11,900.78x = 108,314,799.26
  5. Step 5: Solve for x
    x = 108,314,799.26/11,900.78
  6. Step 6: Final answer
    x = 9,101.49

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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.