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Finding the Fourth Proportional to 7,236.36, 10,854.55 and 2,306

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Solution

The fourth proportional to 7,236.36, 10,854.55 and 2,306 is: 3,459.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,236.36 : 10,854.55 = 2,306 : x
  2. Step 2: Convert to fraction form
    7,236.36/10,854.55 = 2,306/x
  3. Step 3: Cross multiply
    7,236.36x = 10,854.55 × 2,306
  4. Step 4: Simplify right side
    7,236.36x = 25,030,592.30
  5. Step 5: Solve for x
    x = 25,030,592.30/7,236.36
  6. Step 6: Final answer
    x = 3,459.00

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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.