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Finding the Fourth Proportional to 8,653.23, 11,941.74 and 5,297.58

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Solution

The fourth proportional to 8,653.23, 11,941.74 and 5,297.58 is: 7,310.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653.23 : 11,941.74 = 5,297.58 : x
  2. Step 2: Convert to fraction form
    8,653.23/11,941.74 = 5,297.58/x
  3. Step 3: Cross multiply
    8,653.23x = 11,941.74 × 5,297.58
  4. Step 4: Simplify right side
    8,653.23x = 63,262,322.99
  5. Step 5: Solve for x
    x = 63,262,322.99/8,653.23
  6. Step 6: Final answer
    x = 7,310.83

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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.