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Finding the Fourth Proportional to 10,525, 15,787.94 and 4,284.90

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Solution

The fourth proportional to 10,525, 15,787.94 and 4,284.90 is: 6,427.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525 : 15,787.94 = 4,284.90 : x
  2. Step 2: Convert to fraction form
    10,525/15,787.94 = 4,284.90/x
  3. Step 3: Cross multiply
    10,525x = 15,787.94 × 4,284.90
  4. Step 4: Simplify right side
    10,525x = 67,649,744.11
  5. Step 5: Solve for x
    x = 67,649,744.11/10,525
  6. Step 6: Final answer
    x = 6,427.53

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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.