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Finding the Fourth Proportional to 10,145.78, 15,223.70 and 6,851.64

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Solution

The fourth proportional to 10,145.78, 15,223.70 and 6,851.64 is: 10,280.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,145.78 : 15,223.70 = 6,851.64 : x
  2. Step 2: Convert to fraction form
    10,145.78/15,223.70 = 6,851.64/x
  3. Step 3: Cross multiply
    10,145.78x = 15,223.70 × 6,851.64
  4. Step 4: Simplify right side
    10,145.78x = 104,307,311.87
  5. Step 5: Solve for x
    x = 104,307,311.87/10,145.78
  6. Step 6: Final answer
    x = 10,280.86

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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.