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Finding the Fourth Proportional to 10,930.50, 15,078.69 and 6,895.49

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Solution

The fourth proportional to 10,930.50, 15,078.69 and 6,895.49 is: 9,512.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.50 : 15,078.69 = 6,895.49 : x
  2. Step 2: Convert to fraction form
    10,930.50/15,078.69 = 6,895.49/x
  3. Step 3: Cross multiply
    10,930.50x = 15,078.69 × 6,895.49
  4. Step 4: Simplify right side
    10,930.50x = 103,974,880.71
  5. Step 5: Solve for x
    x = 103,974,880.71/10,930.50
  6. Step 6: Final answer
    x = 9,512.36

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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.