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Finding the Fourth Proportional to 10,333.98, 15,501.51 and 3,409.02

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Solution

The fourth proportional to 10,333.98, 15,501.51 and 3,409.02 is: 5,113.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,333.98 : 15,501.51 = 3,409.02 : x
  2. Step 2: Convert to fraction form
    10,333.98/15,501.51 = 3,409.02/x
  3. Step 3: Cross multiply
    10,333.98x = 15,501.51 × 3,409.02
  4. Step 4: Simplify right side
    10,333.98x = 52,844,957.62
  5. Step 5: Solve for x
    x = 52,844,957.62/10,333.98
  6. Step 6: Final answer
    x = 5,113.71

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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.