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Finding the Fourth Proportional to 8,252.40, 12,386.70 and 4,097.10

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Solution

The fourth proportional to 8,252.40, 12,386.70 and 4,097.10 is: 6,149.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,252.40 : 12,386.70 = 4,097.10 : x
  2. Step 2: Convert to fraction form
    8,252.40/12,386.70 = 4,097.10/x
  3. Step 3: Cross multiply
    8,252.40x = 12,386.70 × 4,097.10
  4. Step 4: Simplify right side
    8,252.40x = 50,749,548.57
  5. Step 5: Solve for x
    x = 50,749,548.57/8,252.40
  6. Step 6: Final answer
    x = 6,149.67

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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.