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Finding the Fourth Proportional to 10,080.94, 13,904.13 and 7,097.62

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Solution

The fourth proportional to 10,080.94, 13,904.13 and 7,097.62 is: 9,789.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,080.94 : 13,904.13 = 7,097.62 : x
  2. Step 2: Convert to fraction form
    10,080.94/13,904.13 = 7,097.62/x
  3. Step 3: Cross multiply
    10,080.94x = 13,904.13 × 7,097.62
  4. Step 4: Simplify right side
    10,080.94x = 98,686,231.17
  5. Step 5: Solve for x
    x = 98,686,231.17/10,080.94
  6. Step 6: Final answer
    x = 9,789.39

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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.