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Finding the Fourth Proportional to 10,815.42, 16,223.16 and 3,024.30

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Solution

The fourth proportional to 10,815.42, 16,223.16 and 3,024.30 is: 4,536.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,815.42 : 16,223.16 = 3,024.30 : x
  2. Step 2: Convert to fraction form
    10,815.42/16,223.16 = 3,024.30/x
  3. Step 3: Cross multiply
    10,815.42x = 16,223.16 × 3,024.30
  4. Step 4: Simplify right side
    10,815.42x = 49,063,702.79
  5. Step 5: Solve for x
    x = 49,063,702.79/10,815.42
  6. Step 6: Final answer
    x = 4,536.46

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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.