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Finding the Fourth Proportional to 10,408.83, 14,364.16 and 5,693.11

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Solution

The fourth proportional to 10,408.83, 14,364.16 and 5,693.11 is: 7,856.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.83 : 14,364.16 = 5,693.11 : x
  2. Step 2: Convert to fraction form
    10,408.83/14,364.16 = 5,693.11/x
  3. Step 3: Cross multiply
    10,408.83x = 14,364.16 × 5,693.11
  4. Step 4: Simplify right side
    10,408.83x = 81,776,749.21
  5. Step 5: Solve for x
    x = 81,776,749.21/10,408.83
  6. Step 6: Final answer
    x = 7,856.48

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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.