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Finding the Fourth Proportional to 8,253, 11,389.14 and 4,527

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Solution

The fourth proportional to 8,253, 11,389.14 and 4,527 is: 6,247.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,253 : 11,389.14 = 4,527 : x
  2. Step 2: Convert to fraction form
    8,253/11,389.14 = 4,527/x
  3. Step 3: Cross multiply
    8,253x = 11,389.14 × 4,527
  4. Step 4: Simplify right side
    8,253x = 51,558,636.78
  5. Step 5: Solve for x
    x = 51,558,636.78/8,253
  6. Step 6: Final answer
    x = 6,247.26

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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.