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Finding the Fourth Proportional to 11,749.84, 16,214.50 and 7,558.08

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Solution

The fourth proportional to 11,749.84, 16,214.50 and 7,558.08 is: 10,429.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,749.84 : 16,214.50 = 7,558.08 : x
  2. Step 2: Convert to fraction form
    11,749.84/16,214.50 = 7,558.08/x
  3. Step 3: Cross multiply
    11,749.84x = 16,214.50 × 7,558.08
  4. Step 4: Simplify right side
    11,749.84x = 122,550,488.16
  5. Step 5: Solve for x
    x = 122,550,488.16/11,749.84
  6. Step 6: Final answer
    x = 10,429.97

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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.