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Finding the Fourth Proportional to 10,435.25, 15,655.34 and 3,415.25

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Solution

The fourth proportional to 10,435.25, 15,655.34 and 3,415.25 is: 5,123.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.25 : 15,655.34 = 3,415.25 : x
  2. Step 2: Convert to fraction form
    10,435.25/15,655.34 = 3,415.25/x
  3. Step 3: Cross multiply
    10,435.25x = 15,655.34 × 3,415.25
  4. Step 4: Simplify right side
    10,435.25x = 53,466,947.61
  5. Step 5: Solve for x
    x = 53,466,947.61/10,435.25
  6. Step 6: Final answer
    x = 5,123.69

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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.