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Finding the Fourth Proportional to 10,407.02, 15,611.32 and 3,011.54

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Solution

The fourth proportional to 10,407.02, 15,611.32 and 3,011.54 is: 4,517.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.02 : 15,611.32 = 3,011.54 : x
  2. Step 2: Convert to fraction form
    10,407.02/15,611.32 = 3,011.54/x
  3. Step 3: Cross multiply
    10,407.02x = 15,611.32 × 3,011.54
  4. Step 4: Simplify right side
    10,407.02x = 47,014,114.63
  5. Step 5: Solve for x
    x = 47,014,114.63/10,407.02
  6. Step 6: Final answer
    x = 4,517.54

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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.