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Finding the Fourth Proportional to 7,436.81, 10,262.80 and 4,293

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Solution

The fourth proportional to 7,436.81, 10,262.80 and 4,293 is: 5,924.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,436.81 : 10,262.80 = 4,293 : x
  2. Step 2: Convert to fraction form
    7,436.81/10,262.80 = 4,293/x
  3. Step 3: Cross multiply
    7,436.81x = 10,262.80 × 4,293
  4. Step 4: Simplify right side
    7,436.81x = 44,058,205.77
  5. Step 5: Solve for x
    x = 44,058,205.77/7,436.81
  6. Step 6: Final answer
    x = 5,924.34

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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.