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Finding the Fourth Proportional to 10,671.64, 16,008.36 and 3,651.40

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Solution

The fourth proportional to 10,671.64, 16,008.36 and 3,651.40 is: 5,477.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.64 : 16,008.36 = 3,651.40 : x
  2. Step 2: Convert to fraction form
    10,671.64/16,008.36 = 3,651.40/x
  3. Step 3: Cross multiply
    10,671.64x = 16,008.36 × 3,651.40
  4. Step 4: Simplify right side
    10,671.64x = 58,452,925.70
  5. Step 5: Solve for x
    x = 58,452,925.70/10,671.64
  6. Step 6: Final answer
    x = 5,477.41

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Why These Related Problems?

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