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Finding the Fourth Proportional to 7,707.22, 11,564.07 and 4,010.38

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Solution

The fourth proportional to 7,707.22, 11,564.07 and 4,010.38 is: 6,017.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.22 : 11,564.07 = 4,010.38 : x
  2. Step 2: Convert to fraction form
    7,707.22/11,564.07 = 4,010.38/x
  3. Step 3: Cross multiply
    7,707.22x = 11,564.07 × 4,010.38
  4. Step 4: Simplify right side
    7,707.22x = 46,376,315.05
  5. Step 5: Solve for x
    x = 46,376,315.05/7,707.22
  6. Step 6: Final answer
    x = 6,017.26

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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.