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Finding the Fourth Proportional to 10,092.59, 15,138.80 and 4,172.66

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Solution

The fourth proportional to 10,092.59, 15,138.80 and 4,172.66 is: 6,258.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092.59 : 15,138.80 = 4,172.66 : x
  2. Step 2: Convert to fraction form
    10,092.59/15,138.80 = 4,172.66/x
  3. Step 3: Cross multiply
    10,092.59x = 15,138.80 × 4,172.66
  4. Step 4: Simplify right side
    10,092.59x = 63,168,968.65
  5. Step 5: Solve for x
    x = 63,168,968.65/10,092.59
  6. Step 6: Final answer
    x = 6,258.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.