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Finding the Fourth Proportional to 10,523.63, 14,522.19 and 5,807.85

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Solution

The fourth proportional to 10,523.63, 14,522.19 and 5,807.85 is: 8,014.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.63 : 14,522.19 = 5,807.85 : x
  2. Step 2: Convert to fraction form
    10,523.63/14,522.19 = 5,807.85/x
  3. Step 3: Cross multiply
    10,523.63x = 14,522.19 × 5,807.85
  4. Step 4: Simplify right side
    10,523.63x = 84,342,672.15
  5. Step 5: Solve for x
    x = 84,342,672.15/10,523.63
  6. Step 6: Final answer
    x = 8,014.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.