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Finding the Fourth Proportional to 7,114.63, 10,673.39 and 2,497.99

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Solution

The fourth proportional to 7,114.63, 10,673.39 and 2,497.99 is: 3,747.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.63 : 10,673.39 = 2,497.99 : x
  2. Step 2: Convert to fraction form
    7,114.63/10,673.39 = 2,497.99/x
  3. Step 3: Cross multiply
    7,114.63x = 10,673.39 × 2,497.99
  4. Step 4: Simplify right side
    7,114.63x = 26,662,021.49
  5. Step 5: Solve for x
    x = 26,662,021.49/7,114.63
  6. Step 6: Final answer
    x = 3,747.49

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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.