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Finding the Fourth Proportional to 10,188, 14,059.24 and 5,712.14

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Solution

The fourth proportional to 10,188, 14,059.24 and 5,712.14 is: 7,882.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,188 : 14,059.24 = 5,712.14 : x
  2. Step 2: Convert to fraction form
    10,188/14,059.24 = 5,712.14/x
  3. Step 3: Cross multiply
    10,188x = 14,059.24 × 5,712.14
  4. Step 4: Simplify right side
    10,188x = 80,308,368.04
  5. Step 5: Solve for x
    x = 80,308,368.04/10,188
  6. Step 6: Final answer
    x = 7,882.64

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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.