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Finding the Fourth Proportional to 11,342.32, 17,020.12 and 4,768

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Solution

The fourth proportional to 11,342.32, 17,020.12 and 4,768 is: 7,154.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.32 : 17,020.12 = 4,768 : x
  2. Step 2: Convert to fraction form
    11,342.32/17,020.12 = 4,768/x
  3. Step 3: Cross multiply
    11,342.32x = 17,020.12 × 4,768
  4. Step 4: Simplify right side
    11,342.32x = 81,151,932.16
  5. Step 5: Solve for x
    x = 81,151,932.16/11,342.32
  6. Step 6: Final answer
    x = 7,154.79

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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.