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Finding the Fourth Proportional to 11,708.96, 16,156.56 and 6,740

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Solution

The fourth proportional to 11,708.96, 16,156.56 and 6,740 is: 9,300.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,708.96 : 16,156.56 = 6,740 : x
  2. Step 2: Convert to fraction form
    11,708.96/16,156.56 = 6,740/x
  3. Step 3: Cross multiply
    11,708.96x = 16,156.56 × 6,740
  4. Step 4: Simplify right side
    11,708.96x = 108,895,214.40
  5. Step 5: Solve for x
    x = 108,895,214.40/11,708.96
  6. Step 6: Final answer
    x = 9,300.16

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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.