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Finding the Fourth Proportional to 11,175.16, 15,415.14 and 6,976.12

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Solution

The fourth proportional to 11,175.16, 15,415.14 and 6,976.12 is: 9,622.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,175.16 : 15,415.14 = 6,976.12 : x
  2. Step 2: Convert to fraction form
    11,175.16/15,415.14 = 6,976.12/x
  3. Step 3: Cross multiply
    11,175.16x = 15,415.14 × 6,976.12
  4. Step 4: Simplify right side
    11,175.16x = 107,537,866.46
  5. Step 5: Solve for x
    x = 107,537,866.46/11,175.16
  6. Step 6: Final answer
    x = 9,622.94

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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.