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Finding the Fourth Proportional to 8,210.70, 12,316.06 and 2,287.35

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Solution

The fourth proportional to 8,210.70, 12,316.06 and 2,287.35 is: 3,431.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.70 : 12,316.06 = 2,287.35 : x
  2. Step 2: Convert to fraction form
    8,210.70/12,316.06 = 2,287.35/x
  3. Step 3: Cross multiply
    8,210.70x = 12,316.06 × 2,287.35
  4. Step 4: Simplify right side
    8,210.70x = 28,171,148.76
  5. Step 5: Solve for x
    x = 28,171,148.76/8,210.70
  6. Step 6: Final answer
    x = 3,431.03

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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.