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Finding the Fourth Proportional to 7,090.98, 10,614.60 and 6,486.18

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Solution

The fourth proportional to 7,090.98, 10,614.60 and 6,486.18 is: 9,709.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.98 : 10,614.60 = 6,486.18 : x
  2. Step 2: Convert to fraction form
    7,090.98/10,614.60 = 6,486.18/x
  3. Step 3: Cross multiply
    7,090.98x = 10,614.60 × 6,486.18
  4. Step 4: Simplify right side
    7,090.98x = 68,848,206.23
  5. Step 5: Solve for x
    x = 68,848,206.23/7,090.98
  6. Step 6: Final answer
    x = 9,709.27

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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.