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Finding the Fourth Proportional to 10,878.72, 14,994.36 and 8,325.60

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Solution

The fourth proportional to 10,878.72, 14,994.36 and 8,325.60 is: 11,475.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878.72 : 14,994.36 = 8,325.60 : x
  2. Step 2: Convert to fraction form
    10,878.72/14,994.36 = 8,325.60/x
  3. Step 3: Cross multiply
    10,878.72x = 14,994.36 × 8,325.60
  4. Step 4: Simplify right side
    10,878.72x = 124,837,043.62
  5. Step 5: Solve for x
    x = 124,837,043.62/10,878.72
  6. Step 6: Final answer
    x = 11,475.34

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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.