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Finding the Fourth Proportional to 10,506.80, 15,717.14 and 9,583.14

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Solution

The fourth proportional to 10,506.80, 15,717.14 and 9,583.14 is: 14,335.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.80 : 15,717.14 = 9,583.14 : x
  2. Step 2: Convert to fraction form
    10,506.80/15,717.14 = 9,583.14/x
  3. Step 3: Cross multiply
    10,506.80x = 15,717.14 × 9,583.14
  4. Step 4: Simplify right side
    10,506.80x = 150,619,553.02
  5. Step 5: Solve for x
    x = 150,619,553.02/10,506.80
  6. Step 6: Final answer
    x = 14,335.44

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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.