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Finding the Fourth Proportional to 8,570.61, 12,820.37 and 8,045.73

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Solution

The fourth proportional to 8,570.61, 12,820.37 and 8,045.73 is: 12,035.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.61 : 12,820.37 = 8,045.73 : x
  2. Step 2: Convert to fraction form
    8,570.61/12,820.37 = 8,045.73/x
  3. Step 3: Cross multiply
    8,570.61x = 12,820.37 × 8,045.73
  4. Step 4: Simplify right side
    8,570.61x = 103,149,235.52
  5. Step 5: Solve for x
    x = 103,149,235.52/8,570.61
  6. Step 6: Final answer
    x = 12,035.23

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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.