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Finding the Fourth Proportional to 11,009.23, 16,506.82 and 7,256.68

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Solution

The fourth proportional to 11,009.23, 16,506.82 and 7,256.68 is: 10,880.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,009.23 : 16,506.82 = 7,256.68 : x
  2. Step 2: Convert to fraction form
    11,009.23/16,506.82 = 7,256.68/x
  3. Step 3: Cross multiply
    11,009.23x = 16,506.82 × 7,256.68
  4. Step 4: Simplify right side
    11,009.23x = 119,784,639.84
  5. Step 5: Solve for x
    x = 119,784,639.84/11,009.23
  6. Step 6: Final answer
    x = 10,880.38

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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.