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Finding the Fourth Proportional to 8,207.40, 12,307.86 and 3,010.44

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Solution

The fourth proportional to 8,207.40, 12,307.86 and 3,010.44 is: 4,514.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.40 : 12,307.86 = 3,010.44 : x
  2. Step 2: Convert to fraction form
    8,207.40/12,307.86 = 3,010.44/x
  3. Step 3: Cross multiply
    8,207.40x = 12,307.86 × 3,010.44
  4. Step 4: Simplify right side
    8,207.40x = 37,052,074.06
  5. Step 5: Solve for x
    x = 37,052,074.06/8,207.40
  6. Step 6: Final answer
    x = 4,514.47

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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.