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Finding the Fourth Proportional to 10,302.88, 14,217.12 and 5,826.40

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Solution

The fourth proportional to 10,302.88, 14,217.12 and 5,826.40 is: 8,039.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302.88 : 14,217.12 = 5,826.40 : x
  2. Step 2: Convert to fraction form
    10,302.88/14,217.12 = 5,826.40/x
  3. Step 3: Cross multiply
    10,302.88x = 14,217.12 × 5,826.40
  4. Step 4: Simplify right side
    10,302.88x = 82,834,627.97
  5. Step 5: Solve for x
    x = 82,834,627.97/10,302.88
  6. Step 6: Final answer
    x = 8,039.95

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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.