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Finding the Fourth Proportional to 10,462.74, 14,443.54 and 5,985.62

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Solution

The fourth proportional to 10,462.74, 14,443.54 and 5,985.62 is: 8,262.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.74 : 14,443.54 = 5,985.62 : x
  2. Step 2: Convert to fraction form
    10,462.74/14,443.54 = 5,985.62/x
  3. Step 3: Cross multiply
    10,462.74x = 14,443.54 × 5,985.62
  4. Step 4: Simplify right side
    10,462.74x = 86,453,566.33
  5. Step 5: Solve for x
    x = 86,453,566.33/10,462.74
  6. Step 6: Final answer
    x = 8,262.99

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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.