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Finding the Fourth Proportional to 8,438.81, 11,641.41 and 5,457.20

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Solution

The fourth proportional to 8,438.81, 11,641.41 and 5,457.20 is: 7,528.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.81 : 11,641.41 = 5,457.20 : x
  2. Step 2: Convert to fraction form
    8,438.81/11,641.41 = 5,457.20/x
  3. Step 3: Cross multiply
    8,438.81x = 11,641.41 × 5,457.20
  4. Step 4: Simplify right side
    8,438.81x = 63,529,444.44
  5. Step 5: Solve for x
    x = 63,529,444.44/8,438.81
  6. Step 6: Final answer
    x = 7,528.25

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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.