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Finding the Fourth Proportional to 11,813.16, 16,300.02 and 7,564.92

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Solution

The fourth proportional to 11,813.16, 16,300.02 and 7,564.92 is: 10,438.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813.16 : 16,300.02 = 7,564.92 : x
  2. Step 2: Convert to fraction form
    11,813.16/16,300.02 = 7,564.92/x
  3. Step 3: Cross multiply
    11,813.16x = 16,300.02 × 7,564.92
  4. Step 4: Simplify right side
    11,813.16x = 123,308,347.30
  5. Step 5: Solve for x
    x = 123,308,347.30/11,813.16
  6. Step 6: Final answer
    x = 10,438.22

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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.