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Finding the Fourth Proportional to 11,646.09, 16,071.99 and 6,341.07

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Solution

The fourth proportional to 11,646.09, 16,071.99 and 6,341.07 is: 8,750.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.09 : 16,071.99 = 6,341.07 : x
  2. Step 2: Convert to fraction form
    11,646.09/16,071.99 = 6,341.07/x
  3. Step 3: Cross multiply
    11,646.09x = 16,071.99 × 6,341.07
  4. Step 4: Simplify right side
    11,646.09x = 101,913,613.63
  5. Step 5: Solve for x
    x = 101,913,613.63/11,646.09
  6. Step 6: Final answer
    x = 8,750.89

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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.