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Finding the Fourth Proportional to 8,266.26, 12,394.83 and 4,307.64

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Solution

The fourth proportional to 8,266.26, 12,394.83 and 4,307.64 is: 6,459.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.26 : 12,394.83 = 4,307.64 : x
  2. Step 2: Convert to fraction form
    8,266.26/12,394.83 = 4,307.64/x
  3. Step 3: Cross multiply
    8,266.26x = 12,394.83 × 4,307.64
  4. Step 4: Simplify right side
    8,266.26x = 53,392,465.50
  5. Step 5: Solve for x
    x = 53,392,465.50/8,266.26
  6. Step 6: Final answer
    x = 6,459.08

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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.