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Finding the Fourth Proportional to 10,455.68, 15,682.61 and 3,435.53

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Solution

The fourth proportional to 10,455.68, 15,682.61 and 3,435.53 is: 5,152.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.68 : 15,682.61 = 3,435.53 : x
  2. Step 2: Convert to fraction form
    10,455.68/15,682.61 = 3,435.53/x
  3. Step 3: Cross multiply
    10,455.68x = 15,682.61 × 3,435.53
  4. Step 4: Simplify right side
    10,455.68x = 53,878,029.36
  5. Step 5: Solve for x
    x = 53,878,029.36/10,455.68
  6. Step 6: Final answer
    x = 5,152.99

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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.