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Finding the Fourth Proportional to 11,330.97, 15,635.61 and 6,618

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Solution

The fourth proportional to 11,330.97, 15,635.61 and 6,618 is: 9,132.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,330.97 : 15,635.61 = 6,618 : x
  2. Step 2: Convert to fraction form
    11,330.97/15,635.61 = 6,618/x
  3. Step 3: Cross multiply
    11,330.97x = 15,635.61 × 6,618
  4. Step 4: Simplify right side
    11,330.97x = 103,476,466.98
  5. Step 5: Solve for x
    x = 103,476,466.98/11,330.97
  6. Step 6: Final answer
    x = 9,132.18

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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.