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Finding the Fourth Proportional to 10,670.90, 16,009.07 and 4,097.57

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Solution

The fourth proportional to 10,670.90, 16,009.07 and 4,097.57 is: 6,147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,670.90 : 16,009.07 = 4,097.57 : x
  2. Step 2: Convert to fraction form
    10,670.90/16,009.07 = 4,097.57/x
  3. Step 3: Cross multiply
    10,670.90x = 16,009.07 × 4,097.57
  4. Step 4: Simplify right side
    10,670.90x = 65,598,184.43
  5. Step 5: Solve for x
    x = 65,598,184.43/10,670.90
  6. Step 6: Final answer
    x = 6,147.39

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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.