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Finding the Fourth Proportional to 7,830.85, 10,806.56 and 4,294.29

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Solution

The fourth proportional to 7,830.85, 10,806.56 and 4,294.29 is: 5,926.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.85 : 10,806.56 = 4,294.29 : x
  2. Step 2: Convert to fraction form
    7,830.85/10,806.56 = 4,294.29/x
  3. Step 3: Cross multiply
    7,830.85x = 10,806.56 × 4,294.29
  4. Step 4: Simplify right side
    7,830.85x = 46,406,502.54
  5. Step 5: Solve for x
    x = 46,406,502.54/7,830.85
  6. Step 6: Final answer
    x = 5,926.11

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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.