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Finding the Fourth Proportional to 10,673.64, 16,011.36 and 3,653.40

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Solution

The fourth proportional to 10,673.64, 16,011.36 and 3,653.40 is: 5,480.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,673.64 : 16,011.36 = 3,653.40 : x
  2. Step 2: Convert to fraction form
    10,673.64/16,011.36 = 3,653.40/x
  3. Step 3: Cross multiply
    10,673.64x = 16,011.36 × 3,653.40
  4. Step 4: Simplify right side
    10,673.64x = 58,495,902.62
  5. Step 5: Solve for x
    x = 58,495,902.62/10,673.64
  6. Step 6: Final answer
    x = 5,480.41

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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.