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Finding the Fourth Proportional to 7,482.60, 10,327.05 and 4,829.52

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Solution

The fourth proportional to 7,482.60, 10,327.05 and 4,829.52 is: 6,665.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,482.60 : 10,327.05 = 4,829.52 : x
  2. Step 2: Convert to fraction form
    7,482.60/10,327.05 = 4,829.52/x
  3. Step 3: Cross multiply
    7,482.60x = 10,327.05 × 4,829.52
  4. Step 4: Simplify right side
    7,482.60x = 49,874,694.52
  5. Step 5: Solve for x
    x = 49,874,694.52/7,482.60
  6. Step 6: Final answer
    x = 6,665.42

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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.