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Finding the Fourth Proportional to 6,482.65, 9,724.13 and 2,533.73

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Solution

The fourth proportional to 6,482.65, 9,724.13 and 2,533.73 is: 3,800.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.65 : 9,724.13 = 2,533.73 : x
  2. Step 2: Convert to fraction form
    6,482.65/9,724.13 = 2,533.73/x
  3. Step 3: Cross multiply
    6,482.65x = 9,724.13 × 2,533.73
  4. Step 4: Simplify right side
    6,482.65x = 24,638,307.24
  5. Step 5: Solve for x
    x = 24,638,307.24/6,482.65
  6. Step 6: Final answer
    x = 3,800.65

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