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Finding the Fourth Proportional to 10,326.78, 14,254.62 and 6,135

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Solution

The fourth proportional to 10,326.78, 14,254.62 and 6,135 is: 8,468.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,326.78 : 14,254.62 = 6,135 : x
  2. Step 2: Convert to fraction form
    10,326.78/14,254.62 = 6,135/x
  3. Step 3: Cross multiply
    10,326.78x = 14,254.62 × 6,135
  4. Step 4: Simplify right side
    10,326.78x = 87,452,093.70
  5. Step 5: Solve for x
    x = 87,452,093.70/10,326.78
  6. Step 6: Final answer
    x = 8,468.48

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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.