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Finding the Fourth Proportional to 12,111.96, 16,715.39 and 7,397.13

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Solution

The fourth proportional to 12,111.96, 16,715.39 and 7,397.13 is: 10,208.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,111.96 : 16,715.39 = 7,397.13 : x
  2. Step 2: Convert to fraction form
    12,111.96/16,715.39 = 7,397.13/x
  3. Step 3: Cross multiply
    12,111.96x = 16,715.39 × 7,397.13
  4. Step 4: Simplify right side
    12,111.96x = 123,645,875.85
  5. Step 5: Solve for x
    x = 123,645,875.85/12,111.96
  6. Step 6: Final answer
    x = 10,208.58

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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.