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Finding the Fourth Proportional to 10,475.25, 15,712.88 and 2,684.07

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Solution

The fourth proportional to 10,475.25, 15,712.88 and 2,684.07 is: 4,026.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.25 : 15,712.88 = 2,684.07 : x
  2. Step 2: Convert to fraction form
    10,475.25/15,712.88 = 2,684.07/x
  3. Step 3: Cross multiply
    10,475.25x = 15,712.88 × 2,684.07
  4. Step 4: Simplify right side
    10,475.25x = 42,174,469.82
  5. Step 5: Solve for x
    x = 42,174,469.82/10,475.25
  6. Step 6: Final answer
    x = 4,026.11

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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.