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Finding the Fourth Proportional to 6,962.50, 10,444.73 and 2,032.50

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Solution

The fourth proportional to 6,962.50, 10,444.73 and 2,032.50 is: 3,049.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962.50 : 10,444.73 = 2,032.50 : x
  2. Step 2: Convert to fraction form
    6,962.50/10,444.73 = 2,032.50/x
  3. Step 3: Cross multiply
    6,962.50x = 10,444.73 × 2,032.50
  4. Step 4: Simplify right side
    6,962.50x = 21,228,913.73
  5. Step 5: Solve for x
    x = 21,228,913.73/6,962.50
  6. Step 6: Final answer
    x = 3,049.04

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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.