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Finding the Fourth Proportional to 7,111.63, 10,681.29 and 5,796.36

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Solution

The fourth proportional to 7,111.63, 10,681.29 and 5,796.36 is: 8,705.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.63 : 10,681.29 = 5,796.36 : x
  2. Step 2: Convert to fraction form
    7,111.63/10,681.29 = 5,796.36/x
  3. Step 3: Cross multiply
    7,111.63x = 10,681.29 × 5,796.36
  4. Step 4: Simplify right side
    7,111.63x = 61,912,562.05
  5. Step 5: Solve for x
    x = 61,912,562.05/7,111.63
  6. Step 6: Final answer
    x = 8,705.82

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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.