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Finding the Fourth Proportional to 10,035.54, 13,845.66 and 8,045.40

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Solution

The fourth proportional to 10,035.54, 13,845.66 and 8,045.40 is: 11,099.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,035.54 : 13,845.66 = 8,045.40 : x
  2. Step 2: Convert to fraction form
    10,035.54/13,845.66 = 8,045.40/x
  3. Step 3: Cross multiply
    10,035.54x = 13,845.66 × 8,045.40
  4. Step 4: Simplify right side
    10,035.54x = 111,393,872.96
  5. Step 5: Solve for x
    x = 111,393,872.96/10,035.54
  6. Step 6: Final answer
    x = 11,099.94

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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.