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Finding the Fourth Proportional to 10,889.64, 16,313.90 and 6,434.01

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Solution

The fourth proportional to 10,889.64, 16,313.90 and 6,434.01 is: 9,638.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,889.64 : 16,313.90 = 6,434.01 : x
  2. Step 2: Convert to fraction form
    10,889.64/16,313.90 = 6,434.01/x
  3. Step 3: Cross multiply
    10,889.64x = 16,313.90 × 6,434.01
  4. Step 4: Simplify right side
    10,889.64x = 104,963,795.74
  5. Step 5: Solve for x
    x = 104,963,795.74/10,889.64
  6. Step 6: Final answer
    x = 9,638.87

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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.