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Finding the Fourth Proportional to 13,096, 18,072 and 7,127.52

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Solution

The fourth proportional to 13,096, 18,072 and 7,127.52 is: 9,835.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,096 : 18,072 = 7,127.52 : x
  2. Step 2: Convert to fraction form
    13,096/18,072 = 7,127.52/x
  3. Step 3: Cross multiply
    13,096x = 18,072 × 7,127.52
  4. Step 4: Simplify right side
    13,096x = 128,808,541.44
  5. Step 5: Solve for x
    x = 128,808,541.44/13,096
  6. Step 6: Final answer
    x = 9,835.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.