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Finding the Fourth Proportional to 8,497.05, 11,730.57 and 5,140.71

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Solution

The fourth proportional to 8,497.05, 11,730.57 and 5,140.71 is: 7,096.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.05 : 11,730.57 = 5,140.71 : x
  2. Step 2: Convert to fraction form
    8,497.05/11,730.57 = 5,140.71/x
  3. Step 3: Cross multiply
    8,497.05x = 11,730.57 × 5,140.71
  4. Step 4: Simplify right side
    8,497.05x = 60,303,458.50
  5. Step 5: Solve for x
    x = 60,303,458.50/8,497.05
  6. Step 6: Final answer
    x = 7,096.99

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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.