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Finding the Fourth Proportional to 10,415.16, 15,627.60 and 5,156.64

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Solution

The fourth proportional to 10,415.16, 15,627.60 and 5,156.64 is: 7,737.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.16 : 15,627.60 = 5,156.64 : x
  2. Step 2: Convert to fraction form
    10,415.16/15,627.60 = 5,156.64/x
  3. Step 3: Cross multiply
    10,415.16x = 15,627.60 × 5,156.64
  4. Step 4: Simplify right side
    10,415.16x = 80,585,907.26
  5. Step 5: Solve for x
    x = 80,585,907.26/10,415.16
  6. Step 6: Final answer
    x = 7,737.37

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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.