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Finding the Fourth Proportional to 7,400.25, 10,212.35 and 4,088.25

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Solution

The fourth proportional to 7,400.25, 10,212.35 and 4,088.25 is: 5,641.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,400.25 : 10,212.35 = 4,088.25 : x
  2. Step 2: Convert to fraction form
    7,400.25/10,212.35 = 4,088.25/x
  3. Step 3: Cross multiply
    7,400.25x = 10,212.35 × 4,088.25
  4. Step 4: Simplify right side
    7,400.25x = 41,750,619.45
  5. Step 5: Solve for x
    x = 41,750,619.45/7,400.25
  6. Step 6: Final answer
    x = 5,641.79

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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.