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Finding the Fourth Proportional to 10,705.83, 14,773.73 and 5,925.96

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Solution

The fourth proportional to 10,705.83, 14,773.73 and 5,925.96 is: 8,177.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.83 : 14,773.73 = 5,925.96 : x
  2. Step 2: Convert to fraction form
    10,705.83/14,773.73 = 5,925.96/x
  3. Step 3: Cross multiply
    10,705.83x = 14,773.73 × 5,925.96
  4. Step 4: Simplify right side
    10,705.83x = 87,548,533.03
  5. Step 5: Solve for x
    x = 87,548,533.03/10,705.83
  6. Step 6: Final answer
    x = 8,177.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.