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Finding the Fourth Proportional to 10,650.72, 14,688.03 and 8,417.94

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Solution

The fourth proportional to 10,650.72, 14,688.03 and 8,417.94 is: 11,608.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.72 : 14,688.03 = 8,417.94 : x
  2. Step 2: Convert to fraction form
    10,650.72/14,688.03 = 8,417.94/x
  3. Step 3: Cross multiply
    10,650.72x = 14,688.03 × 8,417.94
  4. Step 4: Simplify right side
    10,650.72x = 123,643,014.37
  5. Step 5: Solve for x
    x = 123,643,014.37/10,650.72
  6. Step 6: Final answer
    x = 11,608.88

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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.