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Finding the Fourth Proportional to 11,646.08, 16,071.84 and 6,341.16

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Solution

The fourth proportional to 11,646.08, 16,071.84 and 6,341.16 is: 8,750.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.08 : 16,071.84 = 6,341.16 : x
  2. Step 2: Convert to fraction form
    11,646.08/16,071.84 = 6,341.16/x
  3. Step 3: Cross multiply
    11,646.08x = 16,071.84 × 6,341.16
  4. Step 4: Simplify right side
    11,646.08x = 101,914,108.93
  5. Step 5: Solve for x
    x = 101,914,108.93/11,646.08
  6. Step 6: Final answer
    x = 8,750.94

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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.