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Finding the Fourth Proportional to 11,013.84, 16,489.92 and 7,106.40

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Solution

The fourth proportional to 11,013.84, 16,489.92 and 7,106.40 is: 10,639.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,013.84 : 16,489.92 = 7,106.40 : x
  2. Step 2: Convert to fraction form
    11,013.84/16,489.92 = 7,106.40/x
  3. Step 3: Cross multiply
    11,013.84x = 16,489.92 × 7,106.40
  4. Step 4: Simplify right side
    11,013.84x = 117,183,967.49
  5. Step 5: Solve for x
    x = 117,183,967.49/11,013.84
  6. Step 6: Final answer
    x = 10,639.70

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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.