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Finding the Fourth Proportional to 13,013.28, 17,963.64 and 7,978.32

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Solution

The fourth proportional to 13,013.28, 17,963.64 and 7,978.32 is: 11,013.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.28 : 17,963.64 = 7,978.32 : x
  2. Step 2: Convert to fraction form
    13,013.28/17,963.64 = 7,978.32/x
  3. Step 3: Cross multiply
    13,013.28x = 17,963.64 × 7,978.32
  4. Step 4: Simplify right side
    13,013.28x = 143,319,668.28
  5. Step 5: Solve for x
    x = 143,319,668.28/13,013.28
  6. Step 6: Final answer
    x = 11,013.34

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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.