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Finding the Fourth Proportional to 10,074.60, 13,900.80 and 6,094.92

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Solution

The fourth proportional to 10,074.60, 13,900.80 and 6,094.92 is: 8,409.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074.60 : 13,900.80 = 6,094.92 : x
  2. Step 2: Convert to fraction form
    10,074.60/13,900.80 = 6,094.92/x
  3. Step 3: Cross multiply
    10,074.60x = 13,900.80 × 6,094.92
  4. Step 4: Simplify right side
    10,074.60x = 84,724,263.94
  5. Step 5: Solve for x
    x = 84,724,263.94/10,074.60
  6. Step 6: Final answer
    x = 8,409.69

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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.