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Finding the Fourth Proportional to 10,606.58, 14,637.74 and 5,890.85

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Solution

The fourth proportional to 10,606.58, 14,637.74 and 5,890.85 is: 8,129.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.58 : 14,637.74 = 5,890.85 : x
  2. Step 2: Convert to fraction form
    10,606.58/14,637.74 = 5,890.85/x
  3. Step 3: Cross multiply
    10,606.58x = 14,637.74 × 5,890.85
  4. Step 4: Simplify right side
    10,606.58x = 86,228,628.04
  5. Step 5: Solve for x
    x = 86,228,628.04/10,606.58
  6. Step 6: Final answer
    x = 8,129.73

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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.