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Finding the Fourth Proportional to 10,843.48, 16,172.69 and 9,445.40

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Solution

The fourth proportional to 10,843.48, 16,172.69 and 9,445.40 is: 14,087.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,843.48 : 16,172.69 = 9,445.40 : x
  2. Step 2: Convert to fraction form
    10,843.48/16,172.69 = 9,445.40/x
  3. Step 3: Cross multiply
    10,843.48x = 16,172.69 × 9,445.40
  4. Step 4: Simplify right side
    10,843.48x = 152,757,526.13
  5. Step 5: Solve for x
    x = 152,757,526.13/10,843.48
  6. Step 6: Final answer
    x = 14,087.50

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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.