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Finding the Fourth Proportional to 11,412.78, 15,748.47 and 6,695.34

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Solution

The fourth proportional to 11,412.78, 15,748.47 and 6,695.34 is: 9,238.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412.78 : 15,748.47 = 6,695.34 : x
  2. Step 2: Convert to fraction form
    11,412.78/15,748.47 = 6,695.34/x
  3. Step 3: Cross multiply
    11,412.78x = 15,748.47 × 6,695.34
  4. Step 4: Simplify right side
    11,412.78x = 105,441,361.13
  5. Step 5: Solve for x
    x = 105,441,361.13/11,412.78
  6. Step 6: Final answer
    x = 9,238.88

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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.