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Finding the Fourth Proportional to 10,930.56, 15,084.18 and 6,214.86

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Solution

The fourth proportional to 10,930.56, 15,084.18 and 6,214.86 is: 8,576.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.56 : 15,084.18 = 6,214.86 : x
  2. Step 2: Convert to fraction form
    10,930.56/15,084.18 = 6,214.86/x
  3. Step 3: Cross multiply
    10,930.56x = 15,084.18 × 6,214.86
  4. Step 4: Simplify right side
    10,930.56x = 93,746,066.91
  5. Step 5: Solve for x
    x = 93,746,066.91/10,930.56
  6. Step 6: Final answer
    x = 8,576.51

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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.