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Finding the Fourth Proportional to 11,175.98, 15,423 and 6,140.64

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Solution

The fourth proportional to 11,175.98, 15,423 and 6,140.64 is: 8,474.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,175.98 : 15,423 = 6,140.64 : x
  2. Step 2: Convert to fraction form
    11,175.98/15,423 = 6,140.64/x
  3. Step 3: Cross multiply
    11,175.98x = 15,423 × 6,140.64
  4. Step 4: Simplify right side
    11,175.98x = 94,707,090.72
  5. Step 5: Solve for x
    x = 94,707,090.72/11,175.98
  6. Step 6: Final answer
    x = 8,474.16

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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.