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Finding the Fourth Proportional to 10,202.59, 14,079.72 and 6,010.84

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Solution

The fourth proportional to 10,202.59, 14,079.72 and 6,010.84 is: 8,295.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.59 : 14,079.72 = 6,010.84 : x
  2. Step 2: Convert to fraction form
    10,202.59/14,079.72 = 6,010.84/x
  3. Step 3: Cross multiply
    10,202.59x = 14,079.72 × 6,010.84
  4. Step 4: Simplify right side
    10,202.59x = 84,630,944.16
  5. Step 5: Solve for x
    x = 84,630,944.16/10,202.59
  6. Step 6: Final answer
    x = 8,295.05

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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.