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Finding the Fourth Proportional to 7,870.30, 11,805.43 and 5,397.62

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Solution

The fourth proportional to 7,870.30, 11,805.43 and 5,397.62 is: 8,096.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.30 : 11,805.43 = 5,397.62 : x
  2. Step 2: Convert to fraction form
    7,870.30/11,805.43 = 5,397.62/x
  3. Step 3: Cross multiply
    7,870.30x = 11,805.43 × 5,397.62
  4. Step 4: Simplify right side
    7,870.30x = 63,721,251.85
  5. Step 5: Solve for x
    x = 63,721,251.85/7,870.30
  6. Step 6: Final answer
    x = 8,096.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.