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Finding the Fourth Proportional to 8,513, 11,748.06 and 5,201

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Solution

The fourth proportional to 8,513, 11,748.06 and 5,201 is: 7,177.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,513 : 11,748.06 = 5,201 : x
  2. Step 2: Convert to fraction form
    8,513/11,748.06 = 5,201/x
  3. Step 3: Cross multiply
    8,513x = 11,748.06 × 5,201
  4. Step 4: Simplify right side
    8,513x = 61,101,660.06
  5. Step 5: Solve for x
    x = 61,101,660.06/8,513
  6. Step 6: Final answer
    x = 7,177.45

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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.