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Finding the Fourth Proportional to 10,673.50, 14,730.14 and 5,957.88

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Solution

The fourth proportional to 10,673.50, 14,730.14 and 5,957.88 is: 8,222.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,673.50 : 14,730.14 = 5,957.88 : x
  2. Step 2: Convert to fraction form
    10,673.50/14,730.14 = 5,957.88/x
  3. Step 3: Cross multiply
    10,673.50x = 14,730.14 × 5,957.88
  4. Step 4: Simplify right side
    10,673.50x = 87,760,406.50
  5. Step 5: Solve for x
    x = 87,760,406.50/10,673.50
  6. Step 6: Final answer
    x = 8,222.27

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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.