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Finding the Fourth Proportional to 11,464.44, 15,802.64 and 9,037.85

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Solution

The fourth proportional to 11,464.44, 15,802.64 and 9,037.85 is: 12,457.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.44 : 15,802.64 = 9,037.85 : x
  2. Step 2: Convert to fraction form
    11,464.44/15,802.64 = 9,037.85/x
  3. Step 3: Cross multiply
    11,464.44x = 15,802.64 × 9,037.85
  4. Step 4: Simplify right side
    11,464.44x = 142,821,765.72
  5. Step 5: Solve for x
    x = 142,821,765.72/11,464.44
  6. Step 6: Final answer
    x = 12,457.81

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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.