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Finding the Fourth Proportional to 10,097.67, 13,905.38 and 7,855.77

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Solution

The fourth proportional to 10,097.67, 13,905.38 and 7,855.77 is: 10,818.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.67 : 13,905.38 = 7,855.77 : x
  2. Step 2: Convert to fraction form
    10,097.67/13,905.38 = 7,855.77/x
  3. Step 3: Cross multiply
    10,097.67x = 13,905.38 × 7,855.77
  4. Step 4: Simplify right side
    10,097.67x = 109,237,486.68
  5. Step 5: Solve for x
    x = 109,237,486.68/10,097.67
  6. Step 6: Final answer
    x = 10,818.09

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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.