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Finding the Fourth Proportional to 11,800.12, 16,266.36 and 9,700.60

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Solution

The fourth proportional to 11,800.12, 16,266.36 and 9,700.60 is: 13,372.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.12 : 16,266.36 = 9,700.60 : x
  2. Step 2: Convert to fraction form
    11,800.12/16,266.36 = 9,700.60/x
  3. Step 3: Cross multiply
    11,800.12x = 16,266.36 × 9,700.60
  4. Step 4: Simplify right side
    11,800.12x = 157,793,451.82
  5. Step 5: Solve for x
    x = 157,793,451.82/11,800.12
  6. Step 6: Final answer
    x = 13,372.19

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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.