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Finding the Fourth Proportional to 11,808.77, 16,296.35 and 6,503.63

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Solution

The fourth proportional to 11,808.77, 16,296.35 and 6,503.63 is: 8,975.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.77 : 16,296.35 = 6,503.63 : x
  2. Step 2: Convert to fraction form
    11,808.77/16,296.35 = 6,503.63/x
  3. Step 3: Cross multiply
    11,808.77x = 16,296.35 × 6,503.63
  4. Step 4: Simplify right side
    11,808.77x = 105,985,316.75
  5. Step 5: Solve for x
    x = 105,985,316.75/11,808.77
  6. Step 6: Final answer
    x = 8,975.14

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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.