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Finding the Fourth Proportional to 10,388.26, 15,573.13 and 3,812.92

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Solution

The fourth proportional to 10,388.26, 15,573.13 and 3,812.92 is: 5,715.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388.26 : 15,573.13 = 3,812.92 : x
  2. Step 2: Convert to fraction form
    10,388.26/15,573.13 = 3,812.92/x
  3. Step 3: Cross multiply
    10,388.26x = 15,573.13 × 3,812.92
  4. Step 4: Simplify right side
    10,388.26x = 59,379,030.51
  5. Step 5: Solve for x
    x = 59,379,030.51/10,388.26
  6. Step 6: Final answer
    x = 5,715.98

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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.