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Finding the Fourth Proportional to 10,574.33, 14,592.57 and 5,794.28

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Solution

The fourth proportional to 10,574.33, 14,592.57 and 5,794.28 is: 7,996.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.33 : 14,592.57 = 5,794.28 : x
  2. Step 2: Convert to fraction form
    10,574.33/14,592.57 = 5,794.28/x
  3. Step 3: Cross multiply
    10,574.33x = 14,592.57 × 5,794.28
  4. Step 4: Simplify right side
    10,574.33x = 84,553,436.50
  5. Step 5: Solve for x
    x = 84,553,436.50/10,574.33
  6. Step 6: Final answer
    x = 7,996.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.