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Finding the Fourth Proportional to 8,570.14, 11,830.63 and 5,033.56

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Solution

The fourth proportional to 8,570.14, 11,830.63 and 5,033.56 is: 6,948.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.14 : 11,830.63 = 5,033.56 : x
  2. Step 2: Convert to fraction form
    8,570.14/11,830.63 = 5,033.56/x
  3. Step 3: Cross multiply
    8,570.14x = 11,830.63 × 5,033.56
  4. Step 4: Simplify right side
    8,570.14x = 59,550,185.94
  5. Step 5: Solve for x
    x = 59,550,185.94/8,570.14
  6. Step 6: Final answer
    x = 6,948.57

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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.