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Finding the Fourth Proportional to 7,411, 11,119.08 and 3,712.40

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Solution

The fourth proportional to 7,411, 11,119.08 and 3,712.40 is: 5,569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411 : 11,119.08 = 3,712.40 : x
  2. Step 2: Convert to fraction form
    7,411/11,119.08 = 3,712.40/x
  3. Step 3: Cross multiply
    7,411x = 11,119.08 × 3,712.40
  4. Step 4: Simplify right side
    7,411x = 41,278,472.59
  5. Step 5: Solve for x
    x = 41,278,472.59/7,411
  6. Step 6: Final answer
    x = 5,569.89

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