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Finding the Fourth Proportional to 6,894.18, 10,342.71 and 2,277.18

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Solution

The fourth proportional to 6,894.18, 10,342.71 and 2,277.18 is: 3,416.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.18 : 10,342.71 = 2,277.18 : x
  2. Step 2: Convert to fraction form
    6,894.18/10,342.71 = 2,277.18/x
  3. Step 3: Cross multiply
    6,894.18x = 10,342.71 × 2,277.18
  4. Step 4: Simplify right side
    6,894.18x = 23,552,212.36
  5. Step 5: Solve for x
    x = 23,552,212.36/6,894.18
  6. Step 6: Final answer
    x = 3,416.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.