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Finding the Fourth Proportional to 10,482.98, 15,724.53 and 3,087.54

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Solution

The fourth proportional to 10,482.98, 15,724.53 and 3,087.54 is: 4,631.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.98 : 15,724.53 = 3,087.54 : x
  2. Step 2: Convert to fraction form
    10,482.98/15,724.53 = 3,087.54/x
  3. Step 3: Cross multiply
    10,482.98x = 15,724.53 × 3,087.54
  4. Step 4: Simplify right side
    10,482.98x = 48,550,115.36
  5. Step 5: Solve for x
    x = 48,550,115.36/10,482.98
  6. Step 6: Final answer
    x = 4,631.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.