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Finding the Fourth Proportional to 11,708.58, 17,552.28 and 4,308

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Solution

The fourth proportional to 11,708.58, 17,552.28 and 4,308 is: 6,458.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,708.58 : 17,552.28 = 4,308 : x
  2. Step 2: Convert to fraction form
    11,708.58/17,552.28 = 4,308/x
  3. Step 3: Cross multiply
    11,708.58x = 17,552.28 × 4,308
  4. Step 4: Simplify right side
    11,708.58x = 75,615,222.24
  5. Step 5: Solve for x
    x = 75,615,222.24/11,708.58
  6. Step 6: Final answer
    x = 6,458.10

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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.