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Finding the Fourth Proportional to 10,564.38, 15,852.04 and 5,370.26

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Solution

The fourth proportional to 10,564.38, 15,852.04 and 5,370.26 is: 8,058.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.38 : 15,852.04 = 5,370.26 : x
  2. Step 2: Convert to fraction form
    10,564.38/15,852.04 = 5,370.26/x
  3. Step 3: Cross multiply
    10,564.38x = 15,852.04 × 5,370.26
  4. Step 4: Simplify right side
    10,564.38x = 85,129,576.33
  5. Step 5: Solve for x
    x = 85,129,576.33/10,564.38
  6. Step 6: Final answer
    x = 8,058.17

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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.