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Finding the Fourth Proportional to 10,465.82, 14,443.64 and 5,990.98

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Solution

The fourth proportional to 10,465.82, 14,443.64 and 5,990.98 is: 8,268.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.82 : 14,443.64 = 5,990.98 : x
  2. Step 2: Convert to fraction form
    10,465.82/14,443.64 = 5,990.98/x
  3. Step 3: Cross multiply
    10,465.82x = 14,443.64 × 5,990.98
  4. Step 4: Simplify right side
    10,465.82x = 86,531,514.77
  5. Step 5: Solve for x
    x = 86,531,514.77/10,465.82
  6. Step 6: Final answer
    x = 8,268.01

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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.