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Finding the Fourth Proportional to 8,516.46, 11,753 and 5,328.74

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Solution

The fourth proportional to 8,516.46, 11,753 and 5,328.74 is: 7,353.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,516.46 : 11,753 = 5,328.74 : x
  2. Step 2: Convert to fraction form
    8,516.46/11,753 = 5,328.74/x
  3. Step 3: Cross multiply
    8,516.46x = 11,753 × 5,328.74
  4. Step 4: Simplify right side
    8,516.46x = 62,628,681.22
  5. Step 5: Solve for x
    x = 62,628,681.22/8,516.46
  6. Step 6: Final answer
    x = 7,353.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.