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Finding the Fourth Proportional to 11,633.57, 16,047.48 and 7,319.80

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Solution

The fourth proportional to 11,633.57, 16,047.48 and 7,319.80 is: 10,097.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.57 : 16,047.48 = 7,319.80 : x
  2. Step 2: Convert to fraction form
    11,633.57/16,047.48 = 7,319.80/x
  3. Step 3: Cross multiply
    11,633.57x = 16,047.48 × 7,319.80
  4. Step 4: Simplify right side
    11,633.57x = 117,464,344.10
  5. Step 5: Solve for x
    x = 117,464,344.10/11,633.57
  6. Step 6: Final answer
    x = 10,097.02

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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.