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Finding the Fourth Proportional to 10,146.66, 15,223.05 and 3,907.26

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Solution

The fourth proportional to 10,146.66, 15,223.05 and 3,907.26 is: 5,862.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146.66 : 15,223.05 = 3,907.26 : x
  2. Step 2: Convert to fraction form
    10,146.66/15,223.05 = 3,907.26/x
  3. Step 3: Cross multiply
    10,146.66x = 15,223.05 × 3,907.26
  4. Step 4: Simplify right side
    10,146.66x = 59,480,414.34
  5. Step 5: Solve for x
    x = 59,480,414.34/10,146.66
  6. Step 6: Final answer
    x = 5,862.07

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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.