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Finding the Fourth Proportional to 7,442.53, 10,270.66 and 4,085.41

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Solution

The fourth proportional to 7,442.53, 10,270.66 and 4,085.41 is: 5,637.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442.53 : 10,270.66 = 4,085.41 : x
  2. Step 2: Convert to fraction form
    7,442.53/10,270.66 = 4,085.41/x
  3. Step 3: Cross multiply
    7,442.53x = 10,270.66 × 4,085.41
  4. Step 4: Simplify right side
    7,442.53x = 41,959,848.10
  5. Step 5: Solve for x
    x = 41,959,848.10/7,442.53
  6. Step 6: Final answer
    x = 5,637.84

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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.