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Finding the Fourth Proportional to 10,468.93, 14,447.01 and 5,992.60

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Solution

The fourth proportional to 10,468.93, 14,447.01 and 5,992.60 is: 8,269.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.93 : 14,447.01 = 5,992.60 : x
  2. Step 2: Convert to fraction form
    10,468.93/14,447.01 = 5,992.60/x
  3. Step 3: Cross multiply
    10,468.93x = 14,447.01 × 5,992.60
  4. Step 4: Simplify right side
    10,468.93x = 86,575,152.13
  5. Step 5: Solve for x
    x = 86,575,152.13/10,468.93
  6. Step 6: Final answer
    x = 8,269.72

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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.