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Finding the Fourth Proportional to 10,708.54, 16,056.50 and 5,003.19

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Solution

The fourth proportional to 10,708.54, 16,056.50 and 5,003.19 is: 7,501.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,708.54 : 16,056.50 = 5,003.19 : x
  2. Step 2: Convert to fraction form
    10,708.54/16,056.50 = 5,003.19/x
  3. Step 3: Cross multiply
    10,708.54x = 16,056.50 × 5,003.19
  4. Step 4: Simplify right side
    10,708.54x = 80,333,695.22
  5. Step 5: Solve for x
    x = 80,333,695.22/10,708.54
  6. Step 6: Final answer
    x = 7,501.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.