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Finding the Fourth Proportional to 6,054.67, 9,088.37 and 5,365.75

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Solution

The fourth proportional to 6,054.67, 9,088.37 and 5,365.75 is: 8,054.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,054.67 : 9,088.37 = 5,365.75 : x
  2. Step 2: Convert to fraction form
    6,054.67/9,088.37 = 5,365.75/x
  3. Step 3: Cross multiply
    6,054.67x = 9,088.37 × 5,365.75
  4. Step 4: Simplify right side
    6,054.67x = 48,765,894.50
  5. Step 5: Solve for x
    x = 48,765,894.50/6,054.67
  6. Step 6: Final answer
    x = 8,054.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.