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Finding the Fourth Proportional to 11,633.76, 16,055.70 and 7,160.46

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Solution

The fourth proportional to 11,633.76, 16,055.70 and 7,160.46 is: 9,882.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.76 : 16,055.70 = 7,160.46 : x
  2. Step 2: Convert to fraction form
    11,633.76/16,055.70 = 7,160.46/x
  3. Step 3: Cross multiply
    11,633.76x = 16,055.70 × 7,160.46
  4. Step 4: Simplify right side
    11,633.76x = 114,966,197.62
  5. Step 5: Solve for x
    x = 114,966,197.62/11,633.76
  6. Step 6: Final answer
    x = 9,882.12

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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.