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Finding the Fourth Proportional to 10,564.29, 15,862 and 5,893.42

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Solution

The fourth proportional to 10,564.29, 15,862 and 5,893.42 is: 8,848.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.29 : 15,862 = 5,893.42 : x
  2. Step 2: Convert to fraction form
    10,564.29/15,862 = 5,893.42/x
  3. Step 3: Cross multiply
    10,564.29x = 15,862 × 5,893.42
  4. Step 4: Simplify right side
    10,564.29x = 93,481,428.04
  5. Step 5: Solve for x
    x = 93,481,428.04/10,564.29
  6. Step 6: Final answer
    x = 8,848.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.