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Finding the Fourth Proportional to 10,796.40, 14,898.46 and 6,080.38

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Solution

The fourth proportional to 10,796.40, 14,898.46 and 6,080.38 is: 8,390.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,796.40 : 14,898.46 = 6,080.38 : x
  2. Step 2: Convert to fraction form
    10,796.40/14,898.46 = 6,080.38/x
  3. Step 3: Cross multiply
    10,796.40x = 14,898.46 × 6,080.38
  4. Step 4: Simplify right side
    10,796.40x = 90,588,298.21
  5. Step 5: Solve for x
    x = 90,588,298.21/10,796.40
  6. Step 6: Final answer
    x = 8,390.60

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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.