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Finding the Fourth Proportional to 7,830.52, 10,806.42 and 4,472.64

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Solution

The fourth proportional to 7,830.52, 10,806.42 and 4,472.64 is: 6,172.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.52 : 10,806.42 = 4,472.64 : x
  2. Step 2: Convert to fraction form
    7,830.52/10,806.42 = 4,472.64/x
  3. Step 3: Cross multiply
    7,830.52x = 10,806.42 × 4,472.64
  4. Step 4: Simplify right side
    7,830.52x = 48,333,226.35
  5. Step 5: Solve for x
    x = 48,333,226.35/7,830.52
  6. Step 6: Final answer
    x = 6,172.42

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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.