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Finding the Fourth Proportional to 10,930.91, 15,084.06 and 6,214.88

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Solution

The fourth proportional to 10,930.91, 15,084.06 and 6,214.88 is: 8,576.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.91 : 15,084.06 = 6,214.88 : x
  2. Step 2: Convert to fraction form
    10,930.91/15,084.06 = 6,214.88/x
  3. Step 3: Cross multiply
    10,930.91x = 15,084.06 × 6,214.88
  4. Step 4: Simplify right side
    10,930.91x = 93,745,547.39
  5. Step 5: Solve for x
    x = 93,745,547.39/10,930.91
  6. Step 6: Final answer
    x = 8,576.19

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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.