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Finding the Fourth Proportional to 7,130.08, 10,696.93 and 2,968.70

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Solution

The fourth proportional to 7,130.08, 10,696.93 and 2,968.70 is: 4,453.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.08 : 10,696.93 = 2,968.70 : x
  2. Step 2: Convert to fraction form
    7,130.08/10,696.93 = 2,968.70/x
  3. Step 3: Cross multiply
    7,130.08x = 10,696.93 × 2,968.70
  4. Step 4: Simplify right side
    7,130.08x = 31,755,976.09
  5. Step 5: Solve for x
    x = 31,755,976.09/7,130.08
  6. Step 6: Final answer
    x = 4,453.81

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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.