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Finding the Fourth Proportional to 8,316.34, 12,478.40 and 3,635.74

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Solution

The fourth proportional to 8,316.34, 12,478.40 and 3,635.74 is: 5,455.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,316.34 : 12,478.40 = 3,635.74 : x
  2. Step 2: Convert to fraction form
    8,316.34/12,478.40 = 3,635.74/x
  3. Step 3: Cross multiply
    8,316.34x = 12,478.40 × 3,635.74
  4. Step 4: Simplify right side
    8,316.34x = 45,368,229.07
  5. Step 5: Solve for x
    x = 45,368,229.07/8,316.34
  6. Step 6: Final answer
    x = 5,455.31

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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.