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Finding the Fourth Proportional to 7,209.48, 10,812.30 and 2,824.50

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Solution

The fourth proportional to 7,209.48, 10,812.30 and 2,824.50 is: 4,236.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.48 : 10,812.30 = 2,824.50 : x
  2. Step 2: Convert to fraction form
    7,209.48/10,812.30 = 2,824.50/x
  3. Step 3: Cross multiply
    7,209.48x = 10,812.30 × 2,824.50
  4. Step 4: Simplify right side
    7,209.48x = 30,539,341.35
  5. Step 5: Solve for x
    x = 30,539,341.35/7,209.48
  6. Step 6: Final answer
    x = 4,236.00

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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.