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Finding the Fourth Proportional to 12,110.08, 16,711.76 and 7,005.46

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Solution

The fourth proportional to 12,110.08, 16,711.76 and 7,005.46 is: 9,667.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,110.08 : 16,711.76 = 7,005.46 : x
  2. Step 2: Convert to fraction form
    12,110.08/16,711.76 = 7,005.46/x
  3. Step 3: Cross multiply
    12,110.08x = 16,711.76 × 7,005.46
  4. Step 4: Simplify right side
    12,110.08x = 117,073,566.21
  5. Step 5: Solve for x
    x = 117,073,566.21/12,110.08
  6. Step 6: Final answer
    x = 9,667.45

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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.