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Finding the Fourth Proportional to 10,243.58, 15,365.01 and 3,223.40

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Solution

The fourth proportional to 10,243.58, 15,365.01 and 3,223.40 is: 4,834.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243.58 : 15,365.01 = 3,223.40 : x
  2. Step 2: Convert to fraction form
    10,243.58/15,365.01 = 3,223.40/x
  3. Step 3: Cross multiply
    10,243.58x = 15,365.01 × 3,223.40
  4. Step 4: Simplify right side
    10,243.58x = 49,527,573.23
  5. Step 5: Solve for x
    x = 49,527,573.23/10,243.58
  6. Step 6: Final answer
    x = 4,834.99

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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.