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Finding the Fourth Proportional to 7,111.67, 10,661.36 and 3,820.93

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Solution

The fourth proportional to 7,111.67, 10,661.36 and 3,820.93 is: 5,728.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.67 : 10,661.36 = 3,820.93 : x
  2. Step 2: Convert to fraction form
    7,111.67/10,661.36 = 3,820.93/x
  3. Step 3: Cross multiply
    7,111.67x = 10,661.36 × 3,820.93
  4. Step 4: Simplify right side
    7,111.67x = 40,736,264.51
  5. Step 5: Solve for x
    x = 40,736,264.51/7,111.67
  6. Step 6: Final answer
    x = 5,728.09

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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.