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Finding the Fourth Proportional to 8,357.00, 11,532.65 and 4,580.37

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Solution

The fourth proportional to 8,357.00, 11,532.65 and 4,580.37 is: 6,320.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.00 : 11,532.65 = 4,580.37 : x
  2. Step 2: Convert to fraction form
    8,357.00/11,532.65 = 4,580.37/x
  3. Step 3: Cross multiply
    8,357.00x = 11,532.65 × 4,580.37
  4. Step 4: Simplify right side
    8,357.00x = 52,823,781.18
  5. Step 5: Solve for x
    x = 52,823,781.18/8,357.00
  6. Step 6: Final answer
    x = 6,320.91

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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.