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Finding the Fourth Proportional to 11,705.55, 16,143.12 and 7,730.67

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Solution

The fourth proportional to 11,705.55, 16,143.12 and 7,730.67 is: 10,661.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.55 : 16,143.12 = 7,730.67 : x
  2. Step 2: Convert to fraction form
    11,705.55/16,143.12 = 7,730.67/x
  3. Step 3: Cross multiply
    11,705.55x = 16,143.12 × 7,730.67
  4. Step 4: Simplify right side
    11,705.55x = 124,797,133.49
  5. Step 5: Solve for x
    x = 124,797,133.49/11,705.55
  6. Step 6: Final answer
    x = 10,661.36

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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.