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Finding the Fourth Proportional to 10,454.41, 14,445.78 and 7,776.43

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Solution

The fourth proportional to 10,454.41, 14,445.78 and 7,776.43 is: 10,745.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.41 : 14,445.78 = 7,776.43 : x
  2. Step 2: Convert to fraction form
    10,454.41/14,445.78 = 7,776.43/x
  3. Step 3: Cross multiply
    10,454.41x = 14,445.78 × 7,776.43
  4. Step 4: Simplify right side
    10,454.41x = 112,336,596.97
  5. Step 5: Solve for x
    x = 112,336,596.97/10,454.41
  6. Step 6: Final answer
    x = 10,745.38

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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.