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Finding the Fourth Proportional to 7,421.25, 10,241.33 and 4,109.25

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Solution

The fourth proportional to 7,421.25, 10,241.33 and 4,109.25 is: 5,670.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,421.25 : 10,241.33 = 4,109.25 : x
  2. Step 2: Convert to fraction form
    7,421.25/10,241.33 = 4,109.25/x
  3. Step 3: Cross multiply
    7,421.25x = 10,241.33 × 4,109.25
  4. Step 4: Simplify right side
    7,421.25x = 42,084,164.76
  5. Step 5: Solve for x
    x = 42,084,164.76/7,421.25
  6. Step 6: Final answer
    x = 5,670.77

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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.