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Finding the Fourth Proportional to 10,283.92, 15,431 and 4,741.18

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Solution

The fourth proportional to 10,283.92, 15,431 and 4,741.18 is: 7,114.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.92 : 15,431 = 4,741.18 : x
  2. Step 2: Convert to fraction form
    10,283.92/15,431 = 4,741.18/x
  3. Step 3: Cross multiply
    10,283.92x = 15,431 × 4,741.18
  4. Step 4: Simplify right side
    10,283.92x = 73,161,148.58
  5. Step 5: Solve for x
    x = 73,161,148.58/10,283.92
  6. Step 6: Final answer
    x = 7,114.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.