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Finding the Fourth Proportional to 11,673.48, 17,500.77 and 7,966.38

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Solution

The fourth proportional to 11,673.48, 17,500.77 and 7,966.38 is: 11,943.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,673.48 : 17,500.77 = 7,966.38 : x
  2. Step 2: Convert to fraction form
    11,673.48/17,500.77 = 7,966.38/x
  3. Step 3: Cross multiply
    11,673.48x = 17,500.77 × 7,966.38
  4. Step 4: Simplify right side
    11,673.48x = 139,417,784.11
  5. Step 5: Solve for x
    x = 139,417,784.11/11,673.48
  6. Step 6: Final answer
    x = 11,943.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.