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Finding the Fourth Proportional to 11,657.60, 17,491.56 and 6,109.62

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Solution

The fourth proportional to 11,657.60, 17,491.56 and 6,109.62 is: 9,167.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.60 : 17,491.56 = 6,109.62 : x
  2. Step 2: Convert to fraction form
    11,657.60/17,491.56 = 6,109.62/x
  3. Step 3: Cross multiply
    11,657.60x = 17,491.56 × 6,109.62
  4. Step 4: Simplify right side
    11,657.60x = 106,866,784.81
  5. Step 5: Solve for x
    x = 106,866,784.81/11,657.60
  6. Step 6: Final answer
    x = 9,167.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.