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Finding the Fourth Proportional to 8,243, 12,352.08 and 4,952.48

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Solution

The fourth proportional to 8,243, 12,352.08 and 4,952.48 is: 7,421.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243 : 12,352.08 = 4,952.48 : x
  2. Step 2: Convert to fraction form
    8,243/12,352.08 = 4,952.48/x
  3. Step 3: Cross multiply
    8,243x = 12,352.08 × 4,952.48
  4. Step 4: Simplify right side
    8,243x = 61,173,429.16
  5. Step 5: Solve for x
    x = 61,173,429.16/8,243
  6. Step 6: Final answer
    x = 7,421.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.