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Finding the Fourth Proportional to 7,297.86, 10,111.72 and 7,140.21

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Solution

The fourth proportional to 7,297.86, 10,111.72 and 7,140.21 is: 9,893.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.86 : 10,111.72 = 7,140.21 : x
  2. Step 2: Convert to fraction form
    7,297.86/10,111.72 = 7,140.21/x
  3. Step 3: Cross multiply
    7,297.86x = 10,111.72 × 7,140.21
  4. Step 4: Simplify right side
    7,297.86x = 72,199,804.26
  5. Step 5: Solve for x
    x = 72,199,804.26/7,297.86
  6. Step 6: Final answer
    x = 9,893.29

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.