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Finding the Fourth Proportional to 10,698.70, 16,056.15 and 6,999.70

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Solution

The fourth proportional to 10,698.70, 16,056.15 and 6,999.70 is: 10,504.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.70 : 16,056.15 = 6,999.70 : x
  2. Step 2: Convert to fraction form
    10,698.70/16,056.15 = 6,999.70/x
  3. Step 3: Cross multiply
    10,698.70x = 16,056.15 × 6,999.70
  4. Step 4: Simplify right side
    10,698.70x = 112,388,233.16
  5. Step 5: Solve for x
    x = 112,388,233.16/10,698.70
  6. Step 6: Final answer
    x = 10,504.85

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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.