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Finding the Fourth Proportional to 7,264.14, 10,024.64 and 4,078.14

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Solution

The fourth proportional to 7,264.14, 10,024.64 and 4,078.14 is: 5,627.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,264.14 : 10,024.64 = 4,078.14 : x
  2. Step 2: Convert to fraction form
    7,264.14/10,024.64 = 4,078.14/x
  3. Step 3: Cross multiply
    7,264.14x = 10,024.64 × 4,078.14
  4. Step 4: Simplify right side
    7,264.14x = 40,881,885.37
  5. Step 5: Solve for x
    x = 40,881,885.37/7,264.14
  6. Step 6: Final answer
    x = 5,627.90

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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.