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Finding the Fourth Proportional to 7,441.98, 10,270.40 and 4,085.13

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Solution

The fourth proportional to 7,441.98, 10,270.40 and 4,085.13 is: 5,637.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.98 : 10,270.40 = 4,085.13 : x
  2. Step 2: Convert to fraction form
    7,441.98/10,270.40 = 4,085.13/x
  3. Step 3: Cross multiply
    7,441.98x = 10,270.40 × 4,085.13
  4. Step 4: Simplify right side
    7,441.98x = 41,955,937.24
  5. Step 5: Solve for x
    x = 41,955,937.24/7,441.98
  6. Step 6: Final answer
    x = 5,637.74

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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.