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Finding the Fourth Proportional to 10,673.72, 16,008.30 and 4,097.60

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Solution

The fourth proportional to 10,673.72, 16,008.30 and 4,097.60 is: 6,145.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,673.72 : 16,008.30 = 4,097.60 : x
  2. Step 2: Convert to fraction form
    10,673.72/16,008.30 = 4,097.60/x
  3. Step 3: Cross multiply
    10,673.72x = 16,008.30 × 4,097.60
  4. Step 4: Simplify right side
    10,673.72x = 65,595,610.08
  5. Step 5: Solve for x
    x = 65,595,610.08/10,673.72
  6. Step 6: Final answer
    x = 6,145.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.