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Finding the Fourth Proportional to 10,971.81, 16,461.84 and 6,532.04

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Solution

The fourth proportional to 10,971.81, 16,461.84 and 6,532.04 is: 9,800.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971.81 : 16,461.84 = 6,532.04 : x
  2. Step 2: Convert to fraction form
    10,971.81/16,461.84 = 6,532.04/x
  3. Step 3: Cross multiply
    10,971.81x = 16,461.84 × 6,532.04
  4. Step 4: Simplify right side
    10,971.81x = 107,529,315.04
  5. Step 5: Solve for x
    x = 107,529,315.04/10,971.81
  6. Step 6: Final answer
    x = 9,800.51

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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.