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Finding the Fourth Proportional to 6,741.46, 10,111.82 and 2,583.46

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Solution

The fourth proportional to 6,741.46, 10,111.82 and 2,583.46 is: 3,875.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741.46 : 10,111.82 = 2,583.46 : x
  2. Step 2: Convert to fraction form
    6,741.46/10,111.82 = 2,583.46/x
  3. Step 3: Cross multiply
    6,741.46x = 10,111.82 × 2,583.46
  4. Step 4: Simplify right side
    6,741.46x = 26,123,482.50
  5. Step 5: Solve for x
    x = 26,123,482.50/6,741.46
  6. Step 6: Final answer
    x = 3,875.05

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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.