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Finding the Fourth Proportional to 10,379.49, 15,569.30 and 2,588.30

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Solution

The fourth proportional to 10,379.49, 15,569.30 and 2,588.30 is: 3,882.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,379.49 : 15,569.30 = 2,588.30 : x
  2. Step 2: Convert to fraction form
    10,379.49/15,569.30 = 2,588.30/x
  3. Step 3: Cross multiply
    10,379.49x = 15,569.30 × 2,588.30
  4. Step 4: Simplify right side
    10,379.49x = 40,298,079.22
  5. Step 5: Solve for x
    x = 40,298,079.22/10,379.49
  6. Step 6: Final answer
    x = 3,882.47

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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.