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Finding the Fourth Proportional to 7,316.31, 10,977.80 and 3,100.72

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Solution

The fourth proportional to 7,316.31, 10,977.80 and 3,100.72 is: 4,652.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,316.31 : 10,977.80 = 3,100.72 : x
  2. Step 2: Convert to fraction form
    7,316.31/10,977.80 = 3,100.72/x
  3. Step 3: Cross multiply
    7,316.31x = 10,977.80 × 3,100.72
  4. Step 4: Simplify right side
    7,316.31x = 34,039,105.49
  5. Step 5: Solve for x
    x = 34,039,105.49/7,316.31
  6. Step 6: Final answer
    x = 4,652.49

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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.