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Finding the Fourth Proportional to 7,509.54, 10,363.38 and 4,106.75

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Solution

The fourth proportional to 7,509.54, 10,363.38 and 4,106.75 is: 5,667.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.54 : 10,363.38 = 4,106.75 : x
  2. Step 2: Convert to fraction form
    7,509.54/10,363.38 = 4,106.75/x
  3. Step 3: Cross multiply
    7,509.54x = 10,363.38 × 4,106.75
  4. Step 4: Simplify right side
    7,509.54x = 42,559,759.00
  5. Step 5: Solve for x
    x = 42,559,759.00/7,509.54
  6. Step 6: Final answer
    x = 5,667.43

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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.