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Finding the Fourth Proportional to 8,570.70, 12,856.05 and 4,682.70

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Solution

The fourth proportional to 8,570.70, 12,856.05 and 4,682.70 is: 7,024.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.70 : 12,856.05 = 4,682.70 : x
  2. Step 2: Convert to fraction form
    8,570.70/12,856.05 = 4,682.70/x
  3. Step 3: Cross multiply
    8,570.70x = 12,856.05 × 4,682.70
  4. Step 4: Simplify right side
    8,570.70x = 60,201,025.34
  5. Step 5: Solve for x
    x = 60,201,025.34/8,570.70
  6. Step 6: Final answer
    x = 7,024.05

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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.