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Finding the Fourth Proportional to 7,830.42, 10,799.70 and 6,884.21

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Solution

The fourth proportional to 7,830.42, 10,799.70 and 6,884.21 is: 9,494.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.42 : 10,799.70 = 6,884.21 : x
  2. Step 2: Convert to fraction form
    7,830.42/10,799.70 = 6,884.21/x
  3. Step 3: Cross multiply
    7,830.42x = 10,799.70 × 6,884.21
  4. Step 4: Simplify right side
    7,830.42x = 74,347,402.74
  5. Step 5: Solve for x
    x = 74,347,402.74/7,830.42
  6. Step 6: Final answer
    x = 9,494.69

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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.