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Finding the Fourth Proportional to 10,448.06, 15,563.49 and 9,882.16

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Solution

The fourth proportional to 10,448.06, 15,563.49 and 9,882.16 is: 14,720.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448.06 : 15,563.49 = 9,882.16 : x
  2. Step 2: Convert to fraction form
    10,448.06/15,563.49 = 9,882.16/x
  3. Step 3: Cross multiply
    10,448.06x = 15,563.49 × 9,882.16
  4. Step 4: Simplify right side
    10,448.06x = 153,800,877.96
  5. Step 5: Solve for x
    x = 153,800,877.96/10,448.06
  6. Step 6: Final answer
    x = 14,720.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.