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Finding the Fourth Proportional to 11,808.83, 16,296.29 and 6,503.66

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Solution

The fourth proportional to 11,808.83, 16,296.29 and 6,503.66 is: 8,975.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.83 : 16,296.29 = 6,503.66 : x
  2. Step 2: Convert to fraction form
    11,808.83/16,296.29 = 6,503.66/x
  3. Step 3: Cross multiply
    11,808.83x = 16,296.29 × 6,503.66
  4. Step 4: Simplify right side
    11,808.83x = 105,985,415.42
  5. Step 5: Solve for x
    x = 105,985,415.42/11,808.83
  6. Step 6: Final answer
    x = 8,975.10

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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.