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Finding the Fourth Proportional to 11,476.42, 15,846.64 and 7,702.97

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Solution

The fourth proportional to 11,476.42, 15,846.64 and 7,702.97 is: 10,636.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,476.42 : 15,846.64 = 7,702.97 : x
  2. Step 2: Convert to fraction form
    11,476.42/15,846.64 = 7,702.97/x
  3. Step 3: Cross multiply
    11,476.42x = 15,846.64 × 7,702.97
  4. Step 4: Simplify right side
    11,476.42x = 122,066,094.03
  5. Step 5: Solve for x
    x = 122,066,094.03/11,476.42
  6. Step 6: Final answer
    x = 10,636.25

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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.