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Finding the Fourth Proportional to 8,520, 12,751.08 and 5,231.40

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Solution

The fourth proportional to 8,520, 12,751.08 and 5,231.40 is: 7,829.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,520 : 12,751.08 = 5,231.40 : x
  2. Step 2: Convert to fraction form
    8,520/12,751.08 = 5,231.40/x
  3. Step 3: Cross multiply
    8,520x = 12,751.08 × 5,231.40
  4. Step 4: Simplify right side
    8,520x = 66,705,999.91
  5. Step 5: Solve for x
    x = 66,705,999.91/8,520
  6. Step 6: Final answer
    x = 7,829.34

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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.