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Finding the Fourth Proportional to 7,506.97, 11,259.29 and 2,509.43

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Solution

The fourth proportional to 7,506.97, 11,259.29 and 2,509.43 is: 3,763.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,506.97 : 11,259.29 = 2,509.43 : x
  2. Step 2: Convert to fraction form
    7,506.97/11,259.29 = 2,509.43/x
  3. Step 3: Cross multiply
    7,506.97x = 11,259.29 × 2,509.43
  4. Step 4: Simplify right side
    7,506.97x = 28,254,350.08
  5. Step 5: Solve for x
    x = 28,254,350.08/7,506.97
  6. Step 6: Final answer
    x = 3,763.75

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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.