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Finding the Fourth Proportional to 11,646.64, 16,071.85 and 6,341.46

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Solution

The fourth proportional to 11,646.64, 16,071.85 and 6,341.46 is: 8,750.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.64 : 16,071.85 = 6,341.46 : x
  2. Step 2: Convert to fraction form
    11,646.64/16,071.85 = 6,341.46/x
  3. Step 3: Cross multiply
    11,646.64x = 16,071.85 × 6,341.46
  4. Step 4: Simplify right side
    11,646.64x = 101,918,993.90
  5. Step 5: Solve for x
    x = 101,918,993.90/11,646.64
  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.