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Finding the Fourth Proportional to 10,265.94, 15,371.10 and 5,325.23

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Solution

The fourth proportional to 10,265.94, 15,371.10 and 5,325.23 is: 7,973.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,265.94 : 15,371.10 = 5,325.23 : x
  2. Step 2: Convert to fraction form
    10,265.94/15,371.10 = 5,325.23/x
  3. Step 3: Cross multiply
    10,265.94x = 15,371.10 × 5,325.23
  4. Step 4: Simplify right side
    10,265.94x = 81,854,681.28
  5. Step 5: Solve for x
    x = 81,854,681.28/10,265.94
  6. Step 6: Final answer
    x = 7,973.42

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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.