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Finding the Fourth Proportional to 11,574.91, 15,972.54 and 6,795.05

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Solution

The fourth proportional to 11,574.91, 15,972.54 and 6,795.05 is: 9,376.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.91 : 15,972.54 = 6,795.05 : x
  2. Step 2: Convert to fraction form
    11,574.91/15,972.54 = 6,795.05/x
  3. Step 3: Cross multiply
    11,574.91x = 15,972.54 × 6,795.05
  4. Step 4: Simplify right side
    11,574.91x = 108,534,128.06
  5. Step 5: Solve for x
    x = 108,534,128.06/11,574.91
  6. Step 6: Final answer
    x = 9,376.67

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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.