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Finding the Fourth Proportional to 8,262.51, 11,402.35 and 4,485.71

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Solution

The fourth proportional to 8,262.51, 11,402.35 and 4,485.71 is: 6,190.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.51 : 11,402.35 = 4,485.71 : x
  2. Step 2: Convert to fraction form
    8,262.51/11,402.35 = 4,485.71/x
  3. Step 3: Cross multiply
    8,262.51x = 11,402.35 × 4,485.71
  4. Step 4: Simplify right side
    8,262.51x = 51,147,588.57
  5. Step 5: Solve for x
    x = 51,147,588.57/8,262.51
  6. Step 6: Final answer
    x = 6,190.32

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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.