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Finding the Fourth Proportional to 7,436.34, 10,262.16 and 4,079.16

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Solution

The fourth proportional to 7,436.34, 10,262.16 and 4,079.16 is: 5,629.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,436.34 : 10,262.16 = 4,079.16 : x
  2. Step 2: Convert to fraction form
    7,436.34/10,262.16 = 4,079.16/x
  3. Step 3: Cross multiply
    7,436.34x = 10,262.16 × 4,079.16
  4. Step 4: Simplify right side
    7,436.34x = 41,860,992.59
  5. Step 5: Solve for x
    x = 41,860,992.59/7,436.34
  6. Step 6: Final answer
    x = 5,629.25

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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.