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Finding the Fourth Proportional to 11,373.28, 15,689.12 and 7,830.36

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Solution

The fourth proportional to 11,373.28, 15,689.12 and 7,830.36 is: 10,801.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,373.28 : 15,689.12 = 7,830.36 : x
  2. Step 2: Convert to fraction form
    11,373.28/15,689.12 = 7,830.36/x
  3. Step 3: Cross multiply
    11,373.28x = 15,689.12 × 7,830.36
  4. Step 4: Simplify right side
    11,373.28x = 122,851,457.68
  5. Step 5: Solve for x
    x = 122,851,457.68/11,373.28
  6. Step 6: Final answer
    x = 10,801.76

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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.