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Finding the Fourth Proportional to 7,256.68, 10,013.94 and 4,112.68

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Solution

The fourth proportional to 7,256.68, 10,013.94 and 4,112.68 is: 5,675.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,256.68 : 10,013.94 = 4,112.68 : x
  2. Step 2: Convert to fraction form
    7,256.68/10,013.94 = 4,112.68/x
  3. Step 3: Cross multiply
    7,256.68x = 10,013.94 × 4,112.68
  4. Step 4: Simplify right side
    7,256.68x = 41,184,130.76
  5. Step 5: Solve for x
    x = 41,184,130.76/7,256.68
  6. Step 6: Final answer
    x = 5,675.34

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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.