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Finding the Fourth Proportional to 7,849.80, 10,842.30 and 5,869.13

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Solution

The fourth proportional to 7,849.80, 10,842.30 and 5,869.13 is: 8,106.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849.80 : 10,842.30 = 5,869.13 : x
  2. Step 2: Convert to fraction form
    7,849.80/10,842.30 = 5,869.13/x
  3. Step 3: Cross multiply
    7,849.80x = 10,842.30 × 5,869.13
  4. Step 4: Simplify right side
    7,849.80x = 63,634,813.99
  5. Step 5: Solve for x
    x = 63,634,813.99/7,849.80
  6. Step 6: Final answer
    x = 8,106.55

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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.