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Finding the Fourth Proportional to 11,846.55, 17,780.59 and 6,304.53

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Solution

The fourth proportional to 11,846.55, 17,780.59 and 6,304.53 is: 9,462.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.55 : 17,780.59 = 6,304.53 : x
  2. Step 2: Convert to fraction form
    11,846.55/17,780.59 = 6,304.53/x
  3. Step 3: Cross multiply
    11,846.55x = 17,780.59 × 6,304.53
  4. Step 4: Simplify right side
    11,846.55x = 112,098,263.07
  5. Step 5: Solve for x
    x = 112,098,263.07/11,846.55
  6. Step 6: Final answer
    x = 9,462.52

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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.