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Finding the Fourth Proportional to 10,096.92, 15,148.62 and 4,547.88

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Solution

The fourth proportional to 10,096.92, 15,148.62 and 4,547.88 is: 6,823.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,096.92 : 15,148.62 = 4,547.88 : x
  2. Step 2: Convert to fraction form
    10,096.92/15,148.62 = 4,547.88/x
  3. Step 3: Cross multiply
    10,096.92x = 15,148.62 × 4,547.88
  4. Step 4: Simplify right side
    10,096.92x = 68,894,105.93
  5. Step 5: Solve for x
    x = 68,894,105.93/10,096.92
  6. Step 6: Final answer
    x = 6,823.28

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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.