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Finding the Fourth Proportional to 8,510.13, 11,744.00 and 4,733.54

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Solution

The fourth proportional to 8,510.13, 11,744.00 and 4,733.54 is: 6,532.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.13 : 11,744.00 = 4,733.54 : x
  2. Step 2: Convert to fraction form
    8,510.13/11,744.00 = 4,733.54/x
  3. Step 3: Cross multiply
    8,510.13x = 11,744.00 × 4,733.54
  4. Step 4: Simplify right side
    8,510.13x = 55,590,646.87
  5. Step 5: Solve for x
    x = 55,590,646.87/8,510.13
  6. Step 6: Final answer
    x = 6,532.29

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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.