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Finding the Fourth Proportional to 10,880.60, 15,014.41 and 6,164.78

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Solution

The fourth proportional to 10,880.60, 15,014.41 and 6,164.78 is: 8,506.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,880.60 : 15,014.41 = 6,164.78 : x
  2. Step 2: Convert to fraction form
    10,880.60/15,014.41 = 6,164.78/x
  3. Step 3: Cross multiply
    10,880.60x = 15,014.41 × 6,164.78
  4. Step 4: Simplify right side
    10,880.60x = 92,560,428.58
  5. Step 5: Solve for x
    x = 92,560,428.58/10,880.60
  6. Step 6: Final answer
    x = 8,506.93

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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.