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Finding the Fourth Proportional to 11,852.66, 17,762.04 and 8,708

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Solution

The fourth proportional to 11,852.66, 17,762.04 and 8,708 is: 13,049.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.66 : 17,762.04 = 8,708 : x
  2. Step 2: Convert to fraction form
    11,852.66/17,762.04 = 8,708/x
  3. Step 3: Cross multiply
    11,852.66x = 17,762.04 × 8,708
  4. Step 4: Simplify right side
    11,852.66x = 154,671,844.32
  5. Step 5: Solve for x
    x = 154,671,844.32/11,852.66
  6. Step 6: Final answer
    x = 13,049.55

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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.