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Finding the Fourth Proportional to 10,465.44, 14,442.62 and 5,990.63

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Solution

The fourth proportional to 10,465.44, 14,442.62 and 5,990.63 is: 8,267.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.44 : 14,442.62 = 5,990.63 : x
  2. Step 2: Convert to fraction form
    10,465.44/14,442.62 = 5,990.63/x
  3. Step 3: Cross multiply
    10,465.44x = 14,442.62 × 5,990.63
  4. Step 4: Simplify right side
    10,465.44x = 86,520,290.48
  5. Step 5: Solve for x
    x = 86,520,290.48/10,465.44
  6. Step 6: Final answer
    x = 8,267.24

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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.