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Finding the Fourth Proportional to 10,527.14, 14,525.78 and 6,278.02

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Solution

The fourth proportional to 10,527.14, 14,525.78 and 6,278.02 is: 8,662.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.14 : 14,525.78 = 6,278.02 : x
  2. Step 2: Convert to fraction form
    10,527.14/14,525.78 = 6,278.02/x
  3. Step 3: Cross multiply
    10,527.14x = 14,525.78 × 6,278.02
  4. Step 4: Simplify right side
    10,527.14x = 91,193,137.36
  5. Step 5: Solve for x
    x = 91,193,137.36/10,527.14
  6. Step 6: Final answer
    x = 8,662.67

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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.