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Finding the Fourth Proportional to 10,899.84, 16,349.66 and 7,218.54

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Solution

The fourth proportional to 10,899.84, 16,349.66 and 7,218.54 is: 10,827.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,899.84 : 16,349.66 = 7,218.54 : x
  2. Step 2: Convert to fraction form
    10,899.84/16,349.66 = 7,218.54/x
  3. Step 3: Cross multiply
    10,899.84x = 16,349.66 × 7,218.54
  4. Step 4: Simplify right side
    10,899.84x = 118,020,706.28
  5. Step 5: Solve for x
    x = 118,020,706.28/10,899.84
  6. Step 6: Final answer
    x = 10,827.75

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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.