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Finding the Fourth Proportional to 11,548.36, 17,322.54 and 4,618

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Solution

The fourth proportional to 11,548.36, 17,322.54 and 4,618 is: 6,927

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,548.36 : 17,322.54 = 4,618 : x
  2. Step 2: Convert to fraction form
    11,548.36/17,322.54 = 4,618/x
  3. Step 3: Cross multiply
    11,548.36x = 17,322.54 × 4,618
  4. Step 4: Simplify right side
    11,548.36x = 79,995,489.72
  5. Step 5: Solve for x
    x = 79,995,489.72/11,548.36
  6. Step 6: Final answer
    x = 6,927

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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.