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Finding the Fourth Proportional to 11,646.48, 16,072.16 and 6,341.32

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Solution

The fourth proportional to 11,646.48, 16,072.16 and 6,341.32 is: 8,751.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.48 : 16,072.16 = 6,341.32 : x
  2. Step 2: Convert to fraction form
    11,646.48/16,072.16 = 6,341.32/x
  3. Step 3: Cross multiply
    11,646.48x = 16,072.16 × 6,341.32
  4. Step 4: Simplify right side
    11,646.48x = 101,918,677.40
  5. Step 5: Solve for x
    x = 101,918,677.40/11,646.48
  6. Step 6: Final answer
    x = 8,751.03

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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.