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Finding the Fourth Proportional to 7,499.80, 11,242.68 and 3,114.46

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Solution

The fourth proportional to 7,499.80, 11,242.68 and 3,114.46 is: 4,668.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,499.80 : 11,242.68 = 3,114.46 : x
  2. Step 2: Convert to fraction form
    7,499.80/11,242.68 = 3,114.46/x
  3. Step 3: Cross multiply
    7,499.80x = 11,242.68 × 3,114.46
  4. Step 4: Simplify right side
    7,499.80x = 35,014,877.15
  5. Step 5: Solve for x
    x = 35,014,877.15/7,499.80
  6. Step 6: Final answer
    x = 4,668.77

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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.