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Finding the Fourth Proportional to 7,107.19, 10,661.42 and 2,430.46

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Solution

The fourth proportional to 7,107.19, 10,661.42 and 2,430.46 is: 3,645.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.19 : 10,661.42 = 2,430.46 : x
  2. Step 2: Convert to fraction form
    7,107.19/10,661.42 = 2,430.46/x
  3. Step 3: Cross multiply
    7,107.19x = 10,661.42 × 2,430.46
  4. Step 4: Simplify right side
    7,107.19x = 25,912,114.29
  5. Step 5: Solve for x
    x = 25,912,114.29/7,107.19
  6. Step 6: Final answer
    x = 3,645.90

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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.