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Finding the Fourth Proportional to 8,570.43, 12,840.98 and 4,677.57

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Solution

The fourth proportional to 8,570.43, 12,840.98 and 4,677.57 is: 7,008.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.43 : 12,840.98 = 4,677.57 : x
  2. Step 2: Convert to fraction form
    8,570.43/12,840.98 = 4,677.57/x
  3. Step 3: Cross multiply
    8,570.43x = 12,840.98 × 4,677.57
  4. Step 4: Simplify right side
    8,570.43x = 60,064,559.43
  5. Step 5: Solve for x
    x = 60,064,559.43/8,570.43
  6. Step 6: Final answer
    x = 7,008.35

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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.