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Finding the Fourth Proportional to 10,308.42, 15,461.86 and 3,288.15

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Solution

The fourth proportional to 10,308.42, 15,461.86 and 3,288.15 is: 4,931.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,308.42 : 15,461.86 = 3,288.15 : x
  2. Step 2: Convert to fraction form
    10,308.42/15,461.86 = 3,288.15/x
  3. Step 3: Cross multiply
    10,308.42x = 15,461.86 × 3,288.15
  4. Step 4: Simplify right side
    10,308.42x = 50,840,906.74
  5. Step 5: Solve for x
    x = 50,840,906.74/10,308.42
  6. Step 6: Final answer
    x = 4,931.98

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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.