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Finding the Fourth Proportional to 11,810.28, 17,662.54 and 10,502.12

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Solution

The fourth proportional to 11,810.28, 17,662.54 and 10,502.12 is: 15,706.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,810.28 : 17,662.54 = 10,502.12 : x
  2. Step 2: Convert to fraction form
    11,810.28/17,662.54 = 10,502.12/x
  3. Step 3: Cross multiply
    11,810.28x = 17,662.54 × 10,502.12
  4. Step 4: Simplify right side
    11,810.28x = 185,494,114.58
  5. Step 5: Solve for x
    x = 185,494,114.58/11,810.28
  6. Step 6: Final answer
    x = 15,706.16

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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.