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Finding the Fourth Proportional to 10,095.84, 13,906.08 and 7,857.54

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Solution

The fourth proportional to 10,095.84, 13,906.08 and 7,857.54 is: 10,823.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095.84 : 13,906.08 = 7,857.54 : x
  2. Step 2: Convert to fraction form
    10,095.84/13,906.08 = 7,857.54/x
  3. Step 3: Cross multiply
    10,095.84x = 13,906.08 × 7,857.54
  4. Step 4: Simplify right side
    10,095.84x = 109,267,579.84
  5. Step 5: Solve for x
    x = 109,267,579.84/10,095.84
  6. Step 6: Final answer
    x = 10,823.03

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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.