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Finding the Fourth Proportional to 8,992.50, 13,488.75 and 2,836.50

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Solution

The fourth proportional to 8,992.50, 13,488.75 and 2,836.50 is: 4,254.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,992.50 : 13,488.75 = 2,836.50 : x
  2. Step 2: Convert to fraction form
    8,992.50/13,488.75 = 2,836.50/x
  3. Step 3: Cross multiply
    8,992.50x = 13,488.75 × 2,836.50
  4. Step 4: Simplify right side
    8,992.50x = 38,260,839.38
  5. Step 5: Solve for x
    x = 38,260,839.38/8,992.50
  6. Step 6: Final answer
    x = 4,254.75

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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.