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Finding the Fourth Proportional to 10,435.68, 15,653.52 and 2,644.48

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Solution

The fourth proportional to 10,435.68, 15,653.52 and 2,644.48 is: 3,966.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.68 : 15,653.52 = 2,644.48 : x
  2. Step 2: Convert to fraction form
    10,435.68/15,653.52 = 2,644.48/x
  3. Step 3: Cross multiply
    10,435.68x = 15,653.52 × 2,644.48
  4. Step 4: Simplify right side
    10,435.68x = 41,395,420.57
  5. Step 5: Solve for x
    x = 41,395,420.57/10,435.68
  6. Step 6: Final answer
    x = 3,966.72

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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.