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Finding the Fourth Proportional to 7,181.53, 9,911.06 and 4,038.19

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Solution

The fourth proportional to 7,181.53, 9,911.06 and 4,038.19 is: 5,573.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,181.53 : 9,911.06 = 4,038.19 : x
  2. Step 2: Convert to fraction form
    7,181.53/9,911.06 = 4,038.19/x
  3. Step 3: Cross multiply
    7,181.53x = 9,911.06 × 4,038.19
  4. Step 4: Simplify right side
    7,181.53x = 40,022,743.38
  5. Step 5: Solve for x
    x = 40,022,743.38/7,181.53
  6. Step 6: Final answer
    x = 5,573.01

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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.