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Finding the Fourth Proportional to 8,749.72, 12,073.98 and 5,214.16

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Solution

The fourth proportional to 8,749.72, 12,073.98 and 5,214.16 is: 7,195.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,749.72 : 12,073.98 = 5,214.16 : x
  2. Step 2: Convert to fraction form
    8,749.72/12,073.98 = 5,214.16/x
  3. Step 3: Cross multiply
    8,749.72x = 12,073.98 × 5,214.16
  4. Step 4: Simplify right side
    8,749.72x = 62,955,663.56
  5. Step 5: Solve for x
    x = 62,955,663.56/8,749.72
  6. Step 6: Final answer
    x = 7,195.16

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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.