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Finding the Fourth Proportional to 11,175.95, 15,423.10 and 6,140.30

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Solution

The fourth proportional to 11,175.95, 15,423.10 and 6,140.30 is: 8,473.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,175.95 : 15,423.10 = 6,140.30 : x
  2. Step 2: Convert to fraction form
    11,175.95/15,423.10 = 6,140.30/x
  3. Step 3: Cross multiply
    11,175.95x = 15,423.10 × 6,140.30
  4. Step 4: Simplify right side
    11,175.95x = 94,702,460.93
  5. Step 5: Solve for x
    x = 94,702,460.93/11,175.95
  6. Step 6: Final answer
    x = 8,473.77

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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.