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Finding the Fourth Proportional to 10,494.86, 14,477.36 and 6,242.90

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Solution

The fourth proportional to 10,494.86, 14,477.36 and 6,242.90 is: 8,611.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.86 : 14,477.36 = 6,242.90 : x
  2. Step 2: Convert to fraction form
    10,494.86/14,477.36 = 6,242.90/x
  3. Step 3: Cross multiply
    10,494.86x = 14,477.36 × 6,242.90
  4. Step 4: Simplify right side
    10,494.86x = 90,380,710.74
  5. Step 5: Solve for x
    x = 90,380,710.74/10,494.86
  6. Step 6: Final answer
    x = 8,611.90

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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.