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Finding the Fourth Proportional to 10,586.07, 15,878.84 and 2,794.95

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Solution

The fourth proportional to 10,586.07, 15,878.84 and 2,794.95 is: 4,192.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.07 : 15,878.84 = 2,794.95 : x
  2. Step 2: Convert to fraction form
    10,586.07/15,878.84 = 2,794.95/x
  3. Step 3: Cross multiply
    10,586.07x = 15,878.84 × 2,794.95
  4. Step 4: Simplify right side
    10,586.07x = 44,380,549.88
  5. Step 5: Solve for x
    x = 44,380,549.88/10,586.07
  6. Step 6: Final answer
    x = 4,192.35

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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.