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Finding the Fourth Proportional to 10,435.76, 15,656.06 and 3,041

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Solution

The fourth proportional to 10,435.76, 15,656.06 and 3,041 is: 4,562.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.76 : 15,656.06 = 3,041 : x
  2. Step 2: Convert to fraction form
    10,435.76/15,656.06 = 3,041/x
  3. Step 3: Cross multiply
    10,435.76x = 15,656.06 × 3,041
  4. Step 4: Simplify right side
    10,435.76x = 47,610,078.46
  5. Step 5: Solve for x
    x = 47,610,078.46/10,435.76
  6. Step 6: Final answer
    x = 4,562.21

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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.