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Finding the Fourth Proportional to 10,197.16, 14,080.38 and 8,309.02

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Solution

The fourth proportional to 10,197.16, 14,080.38 and 8,309.02 is: 11,473.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197.16 : 14,080.38 = 8,309.02 : x
  2. Step 2: Convert to fraction form
    10,197.16/14,080.38 = 8,309.02/x
  3. Step 3: Cross multiply
    10,197.16x = 14,080.38 × 8,309.02
  4. Step 4: Simplify right side
    10,197.16x = 116,994,159.03
  5. Step 5: Solve for x
    x = 116,994,159.03/10,197.16
  6. Step 6: Final answer
    x = 11,473.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.