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Finding the Fourth Proportional to 7,214.50, 10,821.75 and 2,597.50

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Solution

The fourth proportional to 7,214.50, 10,821.75 and 2,597.50 is: 3,896.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.50 : 10,821.75 = 2,597.50 : x
  2. Step 2: Convert to fraction form
    7,214.50/10,821.75 = 2,597.50/x
  3. Step 3: Cross multiply
    7,214.50x = 10,821.75 × 2,597.50
  4. Step 4: Simplify right side
    7,214.50x = 28,109,495.63
  5. Step 5: Solve for x
    x = 28,109,495.63/7,214.50
  6. Step 6: Final answer
    x = 3,896.25

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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.