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Finding the Fourth Proportional to 10,370.16, 14,310.92 and 5,654.54

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Solution

The fourth proportional to 10,370.16, 14,310.92 and 5,654.54 is: 7,803.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,370.16 : 14,310.92 = 5,654.54 : x
  2. Step 2: Convert to fraction form
    10,370.16/14,310.92 = 5,654.54/x
  3. Step 3: Cross multiply
    10,370.16x = 14,310.92 × 5,654.54
  4. Step 4: Simplify right side
    10,370.16x = 80,921,569.75
  5. Step 5: Solve for x
    x = 80,921,569.75/10,370.16
  6. Step 6: Final answer
    x = 7,803.31

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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.