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Finding the Fourth Proportional to 7,864.61, 10,849.07 and 6,374.21

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Solution

The fourth proportional to 7,864.61, 10,849.07 and 6,374.21 is: 8,793.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.61 : 10,849.07 = 6,374.21 : x
  2. Step 2: Convert to fraction form
    7,864.61/10,849.07 = 6,374.21/x
  3. Step 3: Cross multiply
    7,864.61x = 10,849.07 × 6,374.21
  4. Step 4: Simplify right side
    7,864.61x = 69,154,212.17
  5. Step 5: Solve for x
    x = 69,154,212.17/7,864.61
  6. Step 6: Final answer
    x = 8,793.09

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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.