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Finding the Fourth Proportional to 10,693.58, 16,029.02 and 4,116.92

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Solution

The fourth proportional to 10,693.58, 16,029.02 and 4,116.92 is: 6,171.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.58 : 16,029.02 = 4,116.92 : x
  2. Step 2: Convert to fraction form
    10,693.58/16,029.02 = 4,116.92/x
  3. Step 3: Cross multiply
    10,693.58x = 16,029.02 × 4,116.92
  4. Step 4: Simplify right side
    10,693.58x = 65,990,123.17
  5. Step 5: Solve for x
    x = 65,990,123.17/10,693.58
  6. Step 6: Final answer
    x = 6,171.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.