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Finding the Fourth Proportional to 10,864.68, 14,993.55 and 6,019.44

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Solution

The fourth proportional to 10,864.68, 14,993.55 and 6,019.44 is: 8,306.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864.68 : 14,993.55 = 6,019.44 : x
  2. Step 2: Convert to fraction form
    10,864.68/14,993.55 = 6,019.44/x
  3. Step 3: Cross multiply
    10,864.68x = 14,993.55 × 6,019.44
  4. Step 4: Simplify right side
    10,864.68x = 90,252,774.61
  5. Step 5: Solve for x
    x = 90,252,774.61/10,864.68
  6. Step 6: Final answer
    x = 8,306.99

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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.