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Finding the Fourth Proportional to 10,812.16, 14,919 and 6,096.34

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Solution

The fourth proportional to 10,812.16, 14,919 and 6,096.34 is: 8,411.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,812.16 : 14,919 = 6,096.34 : x
  2. Step 2: Convert to fraction form
    10,812.16/14,919 = 6,096.34/x
  3. Step 3: Cross multiply
    10,812.16x = 14,919 × 6,096.34
  4. Step 4: Simplify right side
    10,812.16x = 90,951,296.46
  5. Step 5: Solve for x
    x = 90,951,296.46/10,812.16
  6. Step 6: Final answer
    x = 8,411.95

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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.