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Finding the Fourth Proportional to 8,556.29, 11,807.67 and 5,200.18

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Solution

The fourth proportional to 8,556.29, 11,807.67 and 5,200.18 is: 7,176.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,556.29 : 11,807.67 = 5,200.18 : x
  2. Step 2: Convert to fraction form
    8,556.29/11,807.67 = 5,200.18/x
  3. Step 3: Cross multiply
    8,556.29x = 11,807.67 × 5,200.18
  4. Step 4: Simplify right side
    8,556.29x = 61,402,009.38
  5. Step 5: Solve for x
    x = 61,402,009.38/8,556.29
  6. Step 6: Final answer
    x = 7,176.25

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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.