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Finding the Fourth Proportional to 10,854.08, 14,978.54 and 6,138.54

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Solution

The fourth proportional to 10,854.08, 14,978.54 and 6,138.54 is: 8,471.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.08 : 14,978.54 = 6,138.54 : x
  2. Step 2: Convert to fraction form
    10,854.08/14,978.54 = 6,138.54/x
  3. Step 3: Cross multiply
    10,854.08x = 14,978.54 × 6,138.54
  4. Step 4: Simplify right side
    10,854.08x = 91,946,366.93
  5. Step 5: Solve for x
    x = 91,946,366.93/10,854.08
  6. Step 6: Final answer
    x = 8,471.13

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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.