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Finding the Fourth Proportional to 11,051.82, 15,256.98 and 7,277.40

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Solution

The fourth proportional to 11,051.82, 15,256.98 and 7,277.40 is: 10,046.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,051.82 : 15,256.98 = 7,277.40 : x
  2. Step 2: Convert to fraction form
    11,051.82/15,256.98 = 7,277.40/x
  3. Step 3: Cross multiply
    11,051.82x = 15,256.98 × 7,277.40
  4. Step 4: Simplify right side
    11,051.82x = 111,031,146.25
  5. Step 5: Solve for x
    x = 111,031,146.25/11,051.82
  6. Step 6: Final answer
    x = 10,046.41

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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.