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Finding the Fourth Proportional to 10,448.01, 14,415.06 and 6,199.77

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Solution

The fourth proportional to 10,448.01, 14,415.06 and 6,199.77 is: 8,553.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448.01 : 14,415.06 = 6,199.77 : x
  2. Step 2: Convert to fraction form
    10,448.01/14,415.06 = 6,199.77/x
  3. Step 3: Cross multiply
    10,448.01x = 14,415.06 × 6,199.77
  4. Step 4: Simplify right side
    10,448.01x = 89,370,056.54
  5. Step 5: Solve for x
    x = 89,370,056.54/10,448.01
  6. Step 6: Final answer
    x = 8,553.79

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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.