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Finding the Fourth Proportional to 10,657.56, 14,710.85 and 6,185.73

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Solution

The fourth proportional to 10,657.56, 14,710.85 and 6,185.73 is: 8,538.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.56 : 14,710.85 = 6,185.73 : x
  2. Step 2: Convert to fraction form
    10,657.56/14,710.85 = 6,185.73/x
  3. Step 3: Cross multiply
    10,657.56x = 14,710.85 × 6,185.73
  4. Step 4: Simplify right side
    10,657.56x = 90,997,346.17
  5. Step 5: Solve for x
    x = 90,997,346.17/10,657.56
  6. Step 6: Final answer
    x = 8,538.29

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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.