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Finding the Fourth Proportional to 7,256, 10,014.50 and 4,114.01

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Solution

The fourth proportional to 7,256, 10,014.50 and 4,114.01 is: 5,678.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,256 : 10,014.50 = 4,114.01 : x
  2. Step 2: Convert to fraction form
    7,256/10,014.50 = 4,114.01/x
  3. Step 3: Cross multiply
    7,256x = 10,014.50 × 4,114.01
  4. Step 4: Simplify right side
    7,256x = 41,199,753.15
  5. Step 5: Solve for x
    x = 41,199,753.15/7,256
  6. Step 6: Final answer
    x = 5,678.03

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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.