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Finding the Fourth Proportional to 11,511.01, 15,885.39 and 6,406.93

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Solution

The fourth proportional to 11,511.01, 15,885.39 and 6,406.93 is: 8,841.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,511.01 : 15,885.39 = 6,406.93 : x
  2. Step 2: Convert to fraction form
    11,511.01/15,885.39 = 6,406.93/x
  3. Step 3: Cross multiply
    11,511.01x = 15,885.39 × 6,406.93
  4. Step 4: Simplify right side
    11,511.01x = 101,776,581.75
  5. Step 5: Solve for x
    x = 101,776,581.75/11,511.01
  6. Step 6: Final answer
    x = 8,841.67

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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.