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Finding the Fourth Proportional to 10,888.35, 16,318.75 and 6,211.00

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Solution

The fourth proportional to 10,888.35, 16,318.75 and 6,211.00 is: 9,308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,888.35 : 16,318.75 = 6,211.00 : x
  2. Step 2: Convert to fraction form
    10,888.35/16,318.75 = 6,211.00/x
  3. Step 3: Cross multiply
    10,888.35x = 16,318.75 × 6,211.00
  4. Step 4: Simplify right side
    10,888.35x = 101,355,812.57
  5. Step 5: Solve for x
    x = 101,355,812.57/10,888.35
  6. Step 6: Final answer
    x = 9,308.65

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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.