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Finding the Fourth Proportional to 7,441.63, 10,269.50 and 4,084.76

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Solution

The fourth proportional to 7,441.63, 10,269.50 and 4,084.76 is: 5,637.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.63 : 10,269.50 = 4,084.76 : x
  2. Step 2: Convert to fraction form
    7,441.63/10,269.50 = 4,084.76/x
  3. Step 3: Cross multiply
    7,441.63x = 10,269.50 × 4,084.76
  4. Step 4: Simplify right side
    7,441.63x = 41,948,448.07
  5. Step 5: Solve for x
    x = 41,948,448.07/7,441.63
  6. Step 6: Final answer
    x = 5,637.00

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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.