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Finding the Fourth Proportional to 11,853.16, 17,762.80 and 8,708.52

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Solution

The fourth proportional to 11,853.16, 17,762.80 and 8,708.52 is: 13,050.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.16 : 17,762.80 = 8,708.52 : x
  2. Step 2: Convert to fraction form
    11,853.16/17,762.80 = 8,708.52/x
  3. Step 3: Cross multiply
    11,853.16x = 17,762.80 × 8,708.52
  4. Step 4: Simplify right side
    11,853.16x = 154,687,699.06
  5. Step 5: Solve for x
    x = 154,687,699.06/11,853.16
  6. Step 6: Final answer
    x = 13,050.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.