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Finding the Fourth Proportional to 7,438.15, 10,264.95 and 4,453.39

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Solution

The fourth proportional to 7,438.15, 10,264.95 and 4,453.39 is: 6,145.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438.15 : 10,264.95 = 4,453.39 : x
  2. Step 2: Convert to fraction form
    7,438.15/10,264.95 = 4,453.39/x
  3. Step 3: Cross multiply
    7,438.15x = 10,264.95 × 4,453.39
  4. Step 4: Simplify right side
    7,438.15x = 45,713,752.09
  5. Step 5: Solve for x
    x = 45,713,752.09/7,438.15
  6. Step 6: Final answer
    x = 6,145.85

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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.