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Finding the Fourth Proportional to 10,404.29, 14,356.74 and 6,155.48

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Solution

The fourth proportional to 10,404.29, 14,356.74 and 6,155.48 is: 8,493.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,404.29 : 14,356.74 = 6,155.48 : x
  2. Step 2: Convert to fraction form
    10,404.29/14,356.74 = 6,155.48/x
  3. Step 3: Cross multiply
    10,404.29x = 14,356.74 × 6,155.48
  4. Step 4: Simplify right side
    10,404.29x = 88,372,554.15
  5. Step 5: Solve for x
    x = 88,372,554.15/10,404.29
  6. Step 6: Final answer
    x = 8,493.86

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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.