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Finding the Fourth Proportional to 11,175.93, 15,422.90 and 6,140.07

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Solution

The fourth proportional to 11,175.93, 15,422.90 and 6,140.07 is: 8,473.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,175.93 : 15,422.90 = 6,140.07 : x
  2. Step 2: Convert to fraction form
    11,175.93/15,422.90 = 6,140.07/x
  3. Step 3: Cross multiply
    11,175.93x = 15,422.90 × 6,140.07
  4. Step 4: Simplify right side
    11,175.93x = 94,697,654.90
  5. Step 5: Solve for x
    x = 94,697,654.90/11,175.93
  6. Step 6: Final answer
    x = 8,473.36

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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.