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Finding the Fourth Proportional to 10,097.40, 13,939.44 and 7,823.64

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Solution

The fourth proportional to 10,097.40, 13,939.44 and 7,823.64 is: 10,800.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.40 : 13,939.44 = 7,823.64 : x
  2. Step 2: Convert to fraction form
    10,097.40/13,939.44 = 7,823.64/x
  3. Step 3: Cross multiply
    10,097.40x = 13,939.44 × 7,823.64
  4. Step 4: Simplify right side
    10,097.40x = 109,057,160.36
  5. Step 5: Solve for x
    x = 109,057,160.36/10,097.40
  6. Step 6: Final answer
    x = 10,800.52

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