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Finding the Fourth Proportional to 9,158.44, 13,719.90 and 7,201

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Solution

The fourth proportional to 9,158.44, 13,719.90 and 7,201 is: 10,787.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.44 : 13,719.90 = 7,201 : x
  2. Step 2: Convert to fraction form
    9,158.44/13,719.90 = 7,201/x
  3. Step 3: Cross multiply
    9,158.44x = 13,719.90 × 7,201
  4. Step 4: Simplify right side
    9,158.44x = 98,796,999.90
  5. Step 5: Solve for x
    x = 98,796,999.90/9,158.44
  6. Step 6: Final answer
    x = 10,787.54

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Why These Related Problems?

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