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Finding the Fourth Proportional to 8,570.59, 11,827.57 and 5,213.55

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Solution

The fourth proportional to 8,570.59, 11,827.57 and 5,213.55 is: 7,194.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.59 : 11,827.57 = 5,213.55 : x
  2. Step 2: Convert to fraction form
    8,570.59/11,827.57 = 5,213.55/x
  3. Step 3: Cross multiply
    8,570.59x = 11,827.57 × 5,213.55
  4. Step 4: Simplify right side
    8,570.59x = 61,663,627.57
  5. Step 5: Solve for x
    x = 61,663,627.57/8,570.59
  6. Step 6: Final answer
    x = 7,194.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.