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Finding the Fourth Proportional to 10,387.02, 14,334.08 and 5,671.30

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Solution

The fourth proportional to 10,387.02, 14,334.08 and 5,671.30 is: 7,826.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.02 : 14,334.08 = 5,671.30 : x
  2. Step 2: Convert to fraction form
    10,387.02/14,334.08 = 5,671.30/x
  3. Step 3: Cross multiply
    10,387.02x = 14,334.08 × 5,671.30
  4. Step 4: Simplify right side
    10,387.02x = 81,292,867.90
  5. Step 5: Solve for x
    x = 81,292,867.90/10,387.02
  6. Step 6: Final answer
    x = 7,826.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.