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Finding the Fourth Proportional to 10,186.54, 15,285 and 4,926.04

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Solution

The fourth proportional to 10,186.54, 15,285 and 4,926.04 is: 7,391.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,186.54 : 15,285 = 4,926.04 : x
  2. Step 2: Convert to fraction form
    10,186.54/15,285 = 4,926.04/x
  3. Step 3: Cross multiply
    10,186.54x = 15,285 × 4,926.04
  4. Step 4: Simplify right side
    10,186.54x = 75,294,521.40
  5. Step 5: Solve for x
    x = 75,294,521.40/10,186.54
  6. Step 6: Final answer
    x = 7,391.57

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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.