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Finding the Fourth Proportional to 7,756.08, 11,631.96 and 3,138

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Solution

The fourth proportional to 7,756.08, 11,631.96 and 3,138 is: 4,706.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.08 : 11,631.96 = 3,138 : x
  2. Step 2: Convert to fraction form
    7,756.08/11,631.96 = 3,138/x
  3. Step 3: Cross multiply
    7,756.08x = 11,631.96 × 3,138
  4. Step 4: Simplify right side
    7,756.08x = 36,501,090.48
  5. Step 5: Solve for x
    x = 36,501,090.48/7,756.08
  6. Step 6: Final answer
    x = 4,706.13

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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.