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Finding the Fourth Proportional to 10,083.29, 15,122.93 and 9,583.20

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Solution

The fourth proportional to 10,083.29, 15,122.93 and 9,583.20 is: 14,372.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083.29 : 15,122.93 = 9,583.20 : x
  2. Step 2: Convert to fraction form
    10,083.29/15,122.93 = 9,583.20/x
  3. Step 3: Cross multiply
    10,083.29x = 15,122.93 × 9,583.20
  4. Step 4: Simplify right side
    10,083.29x = 144,926,014.86
  5. Step 5: Solve for x
    x = 144,926,014.86/10,083.29
  6. Step 6: Final answer
    x = 14,372.90

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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.