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Finding the Fourth Proportional to 10,736.72, 14,801.16 and 7,540.32

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Solution

The fourth proportional to 10,736.72, 14,801.16 and 7,540.32 is: 10,394.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,736.72 : 14,801.16 = 7,540.32 : x
  2. Step 2: Convert to fraction form
    10,736.72/14,801.16 = 7,540.32/x
  3. Step 3: Cross multiply
    10,736.72x = 14,801.16 × 7,540.32
  4. Step 4: Simplify right side
    10,736.72x = 111,605,482.77
  5. Step 5: Solve for x
    x = 111,605,482.77/10,736.72
  6. Step 6: Final answer
    x = 10,394.75

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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.