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Finding the Fourth Proportional to 7,647.80, 10,537.80 and 7,121.86

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Solution

The fourth proportional to 7,647.80, 10,537.80 and 7,121.86 is: 9,813.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.80 : 10,537.80 = 7,121.86 : x
  2. Step 2: Convert to fraction form
    7,647.80/10,537.80 = 7,121.86/x
  3. Step 3: Cross multiply
    7,647.80x = 10,537.80 × 7,121.86
  4. Step 4: Simplify right side
    7,647.80x = 75,048,683.26
  5. Step 5: Solve for x
    x = 75,048,683.26/7,647.80
  6. Step 6: Final answer
    x = 9,813.11

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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.