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Finding the Fourth Proportional to 8,434.18, 12,634.35 and 7,745.23

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Solution

The fourth proportional to 8,434.18, 12,634.35 and 7,745.23 is: 11,602.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.18 : 12,634.35 = 7,745.23 : x
  2. Step 2: Convert to fraction form
    8,434.18/12,634.35 = 7,745.23/x
  3. Step 3: Cross multiply
    8,434.18x = 12,634.35 × 7,745.23
  4. Step 4: Simplify right side
    8,434.18x = 97,855,946.65
  5. Step 5: Solve for x
    x = 97,855,946.65/8,434.18
  6. Step 6: Final answer
    x = 11,602.31

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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.