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Finding the Fourth Proportional to 11,964.83, 16,494.35 and 8,417.03

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Solution

The fourth proportional to 11,964.83, 16,494.35 and 8,417.03 is: 11,603.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964.83 : 16,494.35 = 8,417.03 : x
  2. Step 2: Convert to fraction form
    11,964.83/16,494.35 = 8,417.03/x
  3. Step 3: Cross multiply
    11,964.83x = 16,494.35 × 8,417.03
  4. Step 4: Simplify right side
    11,964.83x = 138,833,314.22
  5. Step 5: Solve for x
    x = 138,833,314.22/11,964.83
  6. Step 6: Final answer
    x = 11,603.46

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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.