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Finding the Fourth Proportional to 8,326.16, 11,495.23 and 5,347.25

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Solution

The fourth proportional to 8,326.16, 11,495.23 and 5,347.25 is: 7,382.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,326.16 : 11,495.23 = 5,347.25 : x
  2. Step 2: Convert to fraction form
    8,326.16/11,495.23 = 5,347.25/x
  3. Step 3: Cross multiply
    8,326.16x = 11,495.23 × 5,347.25
  4. Step 4: Simplify right side
    8,326.16x = 61,467,808.55
  5. Step 5: Solve for x
    x = 61,467,808.55/8,326.16
  6. Step 6: Final answer
    x = 7,382.49

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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.