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Finding the Fourth Proportional to 10,354.44, 15,527.88 and 3,778.68

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Solution

The fourth proportional to 10,354.44, 15,527.88 and 3,778.68 is: 5,666.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.44 : 15,527.88 = 3,778.68 : x
  2. Step 2: Convert to fraction form
    10,354.44/15,527.88 = 3,778.68/x
  3. Step 3: Cross multiply
    10,354.44x = 15,527.88 × 3,778.68
  4. Step 4: Simplify right side
    10,354.44x = 58,674,889.60
  5. Step 5: Solve for x
    x = 58,674,889.60/10,354.44
  6. Step 6: Final answer
    x = 5,666.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.