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Finding the Fourth Proportional to 7,805.02, 11,707.38 and 2,872.72

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Solution

The fourth proportional to 7,805.02, 11,707.38 and 2,872.72 is: 4,309.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.02 : 11,707.38 = 2,872.72 : x
  2. Step 2: Convert to fraction form
    7,805.02/11,707.38 = 2,872.72/x
  3. Step 3: Cross multiply
    7,805.02x = 11,707.38 × 2,872.72
  4. Step 4: Simplify right side
    7,805.02x = 33,632,024.67
  5. Step 5: Solve for x
    x = 33,632,024.67/7,805.02
  6. Step 6: Final answer
    x = 4,309.02

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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.