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Finding the Fourth Proportional to 11,812.34, 16,300.94 and 6,507.04

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Solution

The fourth proportional to 11,812.34, 16,300.94 and 6,507.04 is: 8,979.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.34 : 16,300.94 = 6,507.04 : x
  2. Step 2: Convert to fraction form
    11,812.34/16,300.94 = 6,507.04/x
  3. Step 3: Cross multiply
    11,812.34x = 16,300.94 × 6,507.04
  4. Step 4: Simplify right side
    11,812.34x = 106,070,868.62
  5. Step 5: Solve for x
    x = 106,070,868.62/11,812.34
  6. Step 6: Final answer
    x = 8,979.67

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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.