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Finding the Fourth Proportional to 11,645.54, 16,070.19 and 6,340.04

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Solution

The fourth proportional to 11,645.54, 16,070.19 and 6,340.04 is: 8,748.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.54 : 16,070.19 = 6,340.04 : x
  2. Step 2: Convert to fraction form
    11,645.54/16,070.19 = 6,340.04/x
  3. Step 3: Cross multiply
    11,645.54x = 16,070.19 × 6,340.04
  4. Step 4: Simplify right side
    11,645.54x = 101,885,647.41
  5. Step 5: Solve for x
    x = 101,885,647.41/11,645.54
  6. Step 6: Final answer
    x = 8,748.90

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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.