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Finding the Fourth Proportional to 11,648.40, 16,080.24 and 7,459.04

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Solution

The fourth proportional to 11,648.40, 16,080.24 and 7,459.04 is: 10,296.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.40 : 16,080.24 = 7,459.04 : x
  2. Step 2: Convert to fraction form
    11,648.40/16,080.24 = 7,459.04/x
  3. Step 3: Cross multiply
    11,648.40x = 16,080.24 × 7,459.04
  4. Step 4: Simplify right side
    11,648.40x = 119,943,153.37
  5. Step 5: Solve for x
    x = 119,943,153.37/11,648.40
  6. Step 6: Final answer
    x = 10,296.96

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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.