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Finding the Fourth Proportional to 7,830.17, 10,799.54 and 4,847.65

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Solution

The fourth proportional to 7,830.17, 10,799.54 and 4,847.65 is: 6,685.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.17 : 10,799.54 = 4,847.65 : x
  2. Step 2: Convert to fraction form
    7,830.17/10,799.54 = 4,847.65/x
  3. Step 3: Cross multiply
    7,830.17x = 10,799.54 × 4,847.65
  4. Step 4: Simplify right side
    7,830.17x = 52,352,445.04
  5. Step 5: Solve for x
    x = 52,352,445.04/7,830.17
  6. Step 6: Final answer
    x = 6,685.99

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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.