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Finding the Fourth Proportional to 10,513.15, 15,770.22 and 4,269.94

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Solution

The fourth proportional to 10,513.15, 15,770.22 and 4,269.94 is: 6,405.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.15 : 15,770.22 = 4,269.94 : x
  2. Step 2: Convert to fraction form
    10,513.15/15,770.22 = 4,269.94/x
  3. Step 3: Cross multiply
    10,513.15x = 15,770.22 × 4,269.94
  4. Step 4: Simplify right side
    10,513.15x = 67,337,893.19
  5. Step 5: Solve for x
    x = 67,337,893.19/10,513.15
  6. Step 6: Final answer
    x = 6,405.11

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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.