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Finding the Fourth Proportional to 10,705.58, 14,773.39 and 5,925.72

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Solution

The fourth proportional to 10,705.58, 14,773.39 and 5,925.72 is: 8,177.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.58 : 14,773.39 = 5,925.72 : x
  2. Step 2: Convert to fraction form
    10,705.58/14,773.39 = 5,925.72/x
  3. Step 3: Cross multiply
    10,705.58x = 14,773.39 × 5,925.72
  4. Step 4: Simplify right side
    10,705.58x = 87,542,902.38
  5. Step 5: Solve for x
    x = 87,542,902.38/10,705.58
  6. Step 6: Final answer
    x = 8,177.32

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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.