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Finding the Fourth Proportional to 11,746.14, 16,206.66 and 7,027.08

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Solution

The fourth proportional to 11,746.14, 16,206.66 and 7,027.08 is: 9,695.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,746.14 : 16,206.66 = 7,027.08 : x
  2. Step 2: Convert to fraction form
    11,746.14/16,206.66 = 7,027.08/x
  3. Step 3: Cross multiply
    11,746.14x = 16,206.66 × 7,027.08
  4. Step 4: Simplify right side
    11,746.14x = 113,885,496.35
  5. Step 5: Solve for x
    x = 113,885,496.35/11,746.14
  6. Step 6: Final answer
    x = 9,695.57

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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.