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Finding the Fourth Proportional to 10,593, 15,889.50 and 3,667.50

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Solution

The fourth proportional to 10,593, 15,889.50 and 3,667.50 is: 5,501.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,593 : 15,889.50 = 3,667.50 : x
  2. Step 2: Convert to fraction form
    10,593/15,889.50 = 3,667.50/x
  3. Step 3: Cross multiply
    10,593x = 15,889.50 × 3,667.50
  4. Step 4: Simplify right side
    10,593x = 58,274,741.25
  5. Step 5: Solve for x
    x = 58,274,741.25/10,593
  6. Step 6: Final answer
    x = 5,501.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.