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Finding the Fourth Proportional to 10,302.46, 14,206.73 and 8,815.30

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Solution

The fourth proportional to 10,302.46, 14,206.73 and 8,815.30 is: 12,155.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302.46 : 14,206.73 = 8,815.30 : x
  2. Step 2: Convert to fraction form
    10,302.46/14,206.73 = 8,815.30/x
  3. Step 3: Cross multiply
    10,302.46x = 14,206.73 × 8,815.30
  4. Step 4: Simplify right side
    10,302.46x = 125,236,586.97
  5. Step 5: Solve for x
    x = 125,236,586.97/10,302.46
  6. Step 6: Final answer
    x = 12,155.99

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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.