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Finding the Fourth Proportional to 10,566.75, 15,855.59 and 5,372.63

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Solution

The fourth proportional to 10,566.75, 15,855.59 and 5,372.63 is: 8,061.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,566.75 : 15,855.59 = 5,372.63 : x
  2. Step 2: Convert to fraction form
    10,566.75/15,855.59 = 5,372.63/x
  3. Step 3: Cross multiply
    10,566.75x = 15,855.59 × 5,372.63
  4. Step 4: Simplify right side
    10,566.75x = 85,186,218.50
  5. Step 5: Solve for x
    x = 85,186,218.50/10,566.75
  6. Step 6: Final answer
    x = 8,061.72

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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.