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Finding the Fourth Proportional to 7,815.92, 10,782.36 and 4,502

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Solution

The fourth proportional to 7,815.92, 10,782.36 and 4,502 is: 6,210.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,815.92 : 10,782.36 = 4,502 : x
  2. Step 2: Convert to fraction form
    7,815.92/10,782.36 = 4,502/x
  3. Step 3: Cross multiply
    7,815.92x = 10,782.36 × 4,502
  4. Step 4: Simplify right side
    7,815.92x = 48,542,184.72
  5. Step 5: Solve for x
    x = 48,542,184.72/7,815.92
  6. Step 6: Final answer
    x = 6,210.68

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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.