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Finding the Fourth Proportional to 11,707.40, 16,157.76 and 6,673.44

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Solution

The fourth proportional to 11,707.40, 16,157.76 and 6,673.44 is: 9,210.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.40 : 16,157.76 = 6,673.44 : x
  2. Step 2: Convert to fraction form
    11,707.40/16,157.76 = 6,673.44/x
  3. Step 3: Cross multiply
    11,707.40x = 16,157.76 × 6,673.44
  4. Step 4: Simplify right side
    11,707.40x = 107,827,841.89
  5. Step 5: Solve for x
    x = 107,827,841.89/11,707.40
  6. Step 6: Final answer
    x = 9,210.23

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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.