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Finding the Fourth Proportional to 10,890.76, 14,991.32 and 9,491.08

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Solution

The fourth proportional to 10,890.76, 14,991.32 and 9,491.08 is: 13,064.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,890.76 : 14,991.32 = 9,491.08 : x
  2. Step 2: Convert to fraction form
    10,890.76/14,991.32 = 9,491.08/x
  3. Step 3: Cross multiply
    10,890.76x = 14,991.32 × 9,491.08
  4. Step 4: Simplify right side
    10,890.76x = 142,283,817.43
  5. Step 5: Solve for x
    x = 142,283,817.43/10,890.76
  6. Step 6: Final answer
    x = 13,064.64

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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.