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Finding the Fourth Proportional to 7,812.98, 10,782.21 and 4,456.34

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Solution

The fourth proportional to 7,812.98, 10,782.21 and 4,456.34 is: 6,149.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.98 : 10,782.21 = 4,456.34 : x
  2. Step 2: Convert to fraction form
    7,812.98/10,782.21 = 4,456.34/x
  3. Step 3: Cross multiply
    7,812.98x = 10,782.21 × 4,456.34
  4. Step 4: Simplify right side
    7,812.98x = 48,049,193.71
  5. Step 5: Solve for x
    x = 48,049,193.71/7,812.98
  6. Step 6: Final answer
    x = 6,149.92

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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.