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Finding the Fourth Proportional to 8,570.21, 12,861.06 and 3,023.57

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Solution

The fourth proportional to 8,570.21, 12,861.06 and 3,023.57 is: 4,537.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.21 : 12,861.06 = 3,023.57 : x
  2. Step 2: Convert to fraction form
    8,570.21/12,861.06 = 3,023.57/x
  3. Step 3: Cross multiply
    8,570.21x = 12,861.06 × 3,023.57
  4. Step 4: Simplify right side
    8,570.21x = 38,886,347.34
  5. Step 5: Solve for x
    x = 38,886,347.34/8,570.21
  6. Step 6: Final answer
    x = 4,537.38

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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.