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Finding the Fourth Proportional to 6,406.80, 8,830.32 and 5,280.96

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Solution

The fourth proportional to 6,406.80, 8,830.32 and 5,280.96 is: 7,278.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.80 : 8,830.32 = 5,280.96 : x
  2. Step 2: Convert to fraction form
    6,406.80/8,830.32 = 5,280.96/x
  3. Step 3: Cross multiply
    6,406.80x = 8,830.32 × 5,280.96
  4. Step 4: Simplify right side
    6,406.80x = 46,632,566.71
  5. Step 5: Solve for x
    x = 46,632,566.71/6,406.80
  6. Step 6: Final answer
    x = 7,278.61

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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.