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Finding the Fourth Proportional to 8,457.72, 11,667.76 and 5,474.52

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Solution

The fourth proportional to 8,457.72, 11,667.76 and 5,474.52 is: 7,552.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.72 : 11,667.76 = 5,474.52 : x
  2. Step 2: Convert to fraction form
    8,457.72/11,667.76 = 5,474.52/x
  3. Step 3: Cross multiply
    8,457.72x = 11,667.76 × 5,474.52
  4. Step 4: Simplify right side
    8,457.72x = 63,875,327.14
  5. Step 5: Solve for x
    x = 63,875,327.14/8,457.72
  6. Step 6: Final answer
    x = 7,552.31

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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.