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Finding the Fourth Proportional to 11,445.36, 15,786 and 7,672.78

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Solution

The fourth proportional to 11,445.36, 15,786 and 7,672.78 is: 10,582.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,445.36 : 15,786 = 7,672.78 : x
  2. Step 2: Convert to fraction form
    11,445.36/15,786 = 7,672.78/x
  3. Step 3: Cross multiply
    11,445.36x = 15,786 × 7,672.78
  4. Step 4: Simplify right side
    11,445.36x = 121,122,505.08
  5. Step 5: Solve for x
    x = 121,122,505.08/11,445.36
  6. Step 6: Final answer
    x = 10,582.67

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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.