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Finding the Fourth Proportional to 11,346.08, 15,657.44 and 6,378.08

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Solution

The fourth proportional to 11,346.08, 15,657.44 and 6,378.08 is: 8,801.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,346.08 : 15,657.44 = 6,378.08 : x
  2. Step 2: Convert to fraction form
    11,346.08/15,657.44 = 6,378.08/x
  3. Step 3: Cross multiply
    11,346.08x = 15,657.44 × 6,378.08
  4. Step 4: Simplify right side
    11,346.08x = 99,864,404.92
  5. Step 5: Solve for x
    x = 99,864,404.92/11,346.08
  6. Step 6: Final answer
    x = 8,801.67

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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.