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Finding the Fourth Proportional to 10,555.40, 14,556.48 and 7,872.54

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Solution

The fourth proportional to 10,555.40, 14,556.48 and 7,872.54 is: 10,856.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,555.40 : 14,556.48 = 7,872.54 : x
  2. Step 2: Convert to fraction form
    10,555.40/14,556.48 = 7,872.54/x
  3. Step 3: Cross multiply
    10,555.40x = 14,556.48 × 7,872.54
  4. Step 4: Simplify right side
    10,555.40x = 114,596,471.06
  5. Step 5: Solve for x
    x = 114,596,471.06/10,555.40
  6. Step 6: Final answer
    x = 10,856.67

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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.