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Finding the Fourth Proportional to 10,275.40, 14,179.98 and 6,029.02

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Solution

The fourth proportional to 10,275.40, 14,179.98 and 6,029.02 is: 8,320.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275.40 : 14,179.98 = 6,029.02 : x
  2. Step 2: Convert to fraction form
    10,275.40/14,179.98 = 6,029.02/x
  3. Step 3: Cross multiply
    10,275.40x = 14,179.98 × 6,029.02
  4. Step 4: Simplify right side
    10,275.40x = 85,491,383.02
  5. Step 5: Solve for x
    x = 85,491,383.02/10,275.40
  6. Step 6: Final answer
    x = 8,320.01

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