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Finding the Fourth Proportional to 10,078.65, 13,910.08 and 7,255.37

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Solution

The fourth proportional to 10,078.65, 13,910.08 and 7,255.37 is: 10,013.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.65 : 13,910.08 = 7,255.37 : x
  2. Step 2: Convert to fraction form
    10,078.65/13,910.08 = 7,255.37/x
  3. Step 3: Cross multiply
    10,078.65x = 13,910.08 × 7,255.37
  4. Step 4: Simplify right side
    10,078.65x = 100,922,807.37
  5. Step 5: Solve for x
    x = 100,922,807.37/10,078.65
  6. Step 6: Final answer
    x = 10,013.52

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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.